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Learn Algebra

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Master algebra fundamentals to advanced concepts, including equations, matrices, polynomials, functions, logarithms, and conic sections. Develop problem-solving skills for real-world applications.
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35 Lesons
9 hours
On-Demand
Free-Video
Santa Fe Institute

Ulam Lectures - Cris Moore - Limits of Computers in Science and Society Part 1

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Explore computational limits, problem complexity, and algorithmic challenges in science and society. From easy puzzles to impossible problems, delve into the nature of computation and its societal impact.
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32 Lesons
1 hour 26 minutes
On-Demand
Free-Video
TabletClass Math

Using the Remainder Theorem to Evaluate a Function - Algebra Polynomial Theory

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Master the Remainder Theorem and synthetic division to evaluate polynomial functions efficiently. Apply these techniques to find f(2) in algebra and enhance your understanding of polynomial theory.
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1 Lesons
16 minutes
On-Demand
Free-Video
blackpenredpen

Algebra Basics

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Master algebra fundamentals with comprehensive problem-solving techniques for equations, inequalities, functions, and graphs. Gain practical skills for middle school to college-level math.
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51 Lesons
5 hours
On-Demand
Free-Video
statisticsmatt

Pre Calc Topics

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Explore essential pre-calculus concepts including function transformation, inverse functions, quadratic functions, and polynomials to build a strong mathematical foundation.
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4 Lesons
30 minutes
On-Demand
Free-Video
Professor Leonard

Prealgebra

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Comprehensive video series covering prealgebra fundamentals, from number operations to polynomial basics. Ideal for building a strong foundation in essential mathematical concepts.
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44 Lesons
1 day 15 hours
On-Demand
Free-Video
zainematics

Marathons

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Intensive A-Level Mathematics P3 practice sessions covering integration, complex numbers, vectors, polynomials, and more. Focused on exam preparation and problem-solving skills.
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23 Lesons
1 day 10 hours
On-Demand
Free-Video
Lamee Storage

Polynomials and Polynomial Functions

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Explore polynomial functions, their properties, operations, and theorems. Learn classification, behavior analysis, factoring techniques, and division methods for a comprehensive understanding.
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12 Lesons
2 hours 30 minutes
On-Demand
Free-Video

Algebra 1 Videos

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Comprehensive video tutorials covering essential Algebra 1 concepts, from basic operations to solving equations and word problems, with clear explanations and examples.
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19 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Algebra 1

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Master fundamental algebraic concepts: real numbers, equations, inequalities, exponents, polynomials, and factoring. Develop problem-solving skills and build a strong foundation for advanced mathematics.
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21 Lesons
3 hours 30 minutes
On-Demand
Free-Video

College Algebra

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Master essential algebraic concepts: graphing functions, transformations, polynomials, rational functions, sequences, series, and the binomial theorem. Enhance problem-solving skills and mathematical understanding.
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14 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Calculus 1 Integrals - Vol 1

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Master integral calculus: from fundamentals to advanced techniques. Learn integration of polynomials, trigonometric and exponential functions, substitution methods, and logarithmic integrals.
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20 Lesons
2 hours 30 minutes
On-Demand
Free-Video

Algebra Lessons

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Comprehensive introduction to algebra covering variables, expressions, operations, equations, polynomials, and more. Builds foundational skills through step-by-step lessons and practice.
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81 Lesons
12 hours
On-Demand
Free-Video

Algebra 2 Course - Unit 3

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Explore inequalities, functions, and polynomials through graphing, evaluation, and algebraic operations. Master key concepts in algebra for a solid mathematical foundation.
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18 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Sean Fitzpatrick

Precalculus Review - Graphs

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Comprehensive review of graphing techniques for various functions, including polynomials, rational expressions, and trigonometric functions, with emphasis on transformations and visual analysis.
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10 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Algebra 1 Course - Unit 4

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Master exponents, polynomials, and algebraic operations. Learn to multiply, add, subtract, and manipulate various polynomial forms. Develop skills in order of operations and solving formulas for variables.
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20 Lesons
1 hour 30 minutes
On-Demand
Free-Video
3Blue1Brown

Newton's Method Produces This Fractal, Why Don't We Teach It in Calculus Classes?

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Explore the fascinating fractal produced by Newton's method for finding roots of polynomials, revealing unexpected complexity in a seemingly simple mathematical technique.
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6 Lesons
26 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor

Algebra Final Exam Review

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Comprehensive algebra review covering key concepts like polynomials, linear equations, exponents, and quadratic equations. Includes multiple-choice and free-response questions for exam preparation.
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13 Lesons
55 minutes
On-Demand
Free-Video
Brian McLogan

Irrational Zeros of Polynomials - Polynomials - Pre-Calculus

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Comprehensive guide to finding irrational zeros of polynomials using factoring, division methods, and theorems. Includes practical examples and step-by-step explanations for mastering this pre-calculus topic.
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18 Lesons
57 minutes
On-Demand
Free-Video
Brian McLogan

Get Ready for Pre-Calculus in One Day

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Comprehensive review of essential pre-calculus topics, covering linear equations, functions, radicals, complex numbers, quadratics, exponentials, logarithms, rational functions, polynomials, triangles, and systems in under 3 hours.
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15 Lesons
2 hours 39 minutes
On-Demand
Free-Video
Brian McLogan

Polynomials

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Comprehensive guide to polynomials covering characteristics, binomial expansion, real, irrational, and complex zeros. Includes practical examples and step-by-step solutions for various polynomial-related problems.
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31 Lesons
5 hours 15 minutes
On-Demand
Free-Video
Professor Dave Explains

Algebra 1 and 2

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Comprehensive exploration of algebraic concepts, from basic equations to advanced topics like conic sections and logarithms, with clear explanations and practical applications.
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48 Lesons
6 hours
On-Demand
Free-Video
GreeneMath.com

Dividing Polynomials Practice Test Full Solutions

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Step-by-step solutions for dividing polynomials, covering monomial division, long division, and scenarios with missing terms. Includes 10 practice problems with detailed explanations.
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10 Lesons
39 minutes
On-Demand
Free-Video
Wrath of Math

Putnam Exam A1 - Putnam Polynomials Puzzle

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Detailed solution to 2016 Putnam Exam A1, exploring polynomial derivatives and divisibility by 2016. Includes sigma notation and binomial coefficients for a comprehensive mathematical analysis.
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7 Lesons
29 minutes
On-Demand
Free-Video
GreeneMath.com

Dividing Polynomials Practice Test Full Solutions

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Comprehensive step-by-step solutions for polynomial division, covering various techniques and scenarios to enhance understanding and problem-solving skills.
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5 Lesons
29 minutes
On-Demand
Free-Video
GreeneMath.com

How to Divide Polynomials Practice Test Full Solutions

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Comprehensive practice test with step-by-step solutions for polynomial division using long division method, covering various problem types across five sections.
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5 Lesons
32 minutes
On-Demand
Free-Video

Class 10 Maths - Polynomials - CBSE NCERT

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In this course, you will learn all about Polynomials with numerical examples for CBSE class 10 Mathematics.
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12 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Polynomials Maths CBSE Class 10 Mathematics

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Comprehensive exploration of polynomials for CBSE class 10, covering introduction, zeroes, relationships between coefficients, and division algorithm with practical examples.
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12 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Brian McLogan

Get Ready for Polynomials in Algebra 2

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Comprehensive guide to mastering polynomials in Algebra 2, covering factoring, simplification, graphing, and solving using the quadratic formula. Essential preparation for advanced algebraic concepts.
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5 Lesons
31 minutes
On-Demand
Free-Video
Gurukul Online Learning Network [ GOLN ]

Polytechnic Math 1 - Gurukul Mathematics

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গণিত-১ এর মৌলিক ধারণা: সমান্তর ও গুণোত্তর প্রগমন, ধারা, বহুপদী এবং সমীকরণ। পলিটেকনিক, এইচএসসি ও এসএসসি স্তরের জন্য উপযোগী।
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9 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Ryan O'Donnell

Fourier Analysis of Boolean Functions - Lecture 8a of CS Theory Toolkit

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Explore Fourier analysis of Boolean functions, focusing on real-valued functions and their Fourier transforms in this graduate-level theoretical computer science lecture.
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5 Lesons
32 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On the Fourier Weight of F2 Polynomials

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Explore Fourier weight of F2 polynomials, focusing on level k and degree d relationships. Gain insights into pseudorandom generators and recent mathematical proofs.
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1 Lesons
36 minutes
On-Demand
Free-Video
Simons Institute

Semiring Semantics

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Explore semiring semantics in logic, evaluating statements with values beyond true/false. Learn applications in database queries, provenance analysis, and extensions to various logical systems.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Brian McLogan

Characteristics of Polynomials - Polynomials - Pre-Calculus

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Explore zeros, multiplicity, and end behavior of polynomials in factored form. Learn to sketch polynomial graphs using these characteristics and the Intermediate Value Theorem.
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14 Lesons
1 hour 4 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor

Factoring Polynomials - By GCF, AC Method, Grouping, Substitution, Sum & Difference of Cubes

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Learn comprehensive polynomial factoring techniques, from basic GCF to advanced methods like substitution and synthetic division, with numerous examples and shortcuts for algebra success.
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10 Lesons
46 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor

Intermediate Algebra - Basic Introduction

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Comprehensive review of intermediate algebra concepts, covering linear equations, inequalities, graphing, quadratics, exponents, and radicals with examples and practice problems.
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12 Lesons
52 minutes
On-Demand
Free-Video
IEEE

Multi-Server Verifiable Computation of Low-Degree Polynomials

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Explore efficient multi-server verifiable computation techniques for low-degree polynomials, including interpolation, curve intersecting, and surface translating methods, with performance analysis and experimental results.
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14 Lesons
17 minutes
On-Demand
Free-Video
Professor Leonard

Properties of Exponents in Polynomials - Multiplying Polynomials

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Learn properties of exponents in polynomials and techniques for multiplying polynomials, including product and power properties, with clear examples and step-by-step explanations.
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7 Lesons
56 minutes
On-Demand
Free-Video
Professor Leonard

Prealgebra Lecture - Adding and Subtracting Polynomials

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Learn to add and subtract polynomials, combine like terms, and distribute negatives in this comprehensive pre-algebra lesson with practice questions and evaluation.
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7 Lesons
42 minutes
On-Demand
Free-Video
Professor Leonard

Creating Polynomials from Complex Solutions - Precalculus - College Algebra

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Learn to construct polynomial functions from complex solutions, focusing on complex conjugate pairs and irreducible quadratics in this comprehensive algebra lesson.
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7 Lesons
40 minutes
On-Demand
Free-Video
Professor Leonard

Adding Polynomials

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Learn to add polynomials efficiently by combining like terms, with step-by-step guidance on removing parentheses and practical exercises to reinforce your understanding.
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6 Lesons
24 minutes
On-Demand
Free-Video
Simons Institute

Nonnegative Polynomials, Nonconvex Polynomial Optimization, and Applications to Learning

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Explore nonnegative polynomials and nonconvex optimization, focusing on shape-constrained regression and DC programming. Learn powerful relaxation techniques and their applications in machine learning.
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16 Lesons
27 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Addition, Multiplication and Division in Galois Fields GF(2^m)

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Learn essential operations in Galois Fields GF(2^m), including addition, multiplication, and division. Explore polynomials, primitives, and their applications in encryption.
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6 Lesons
22 minutes
On-Demand
Free-Video
Insights into Mathematics

The Language of Algebra - Math Terminology

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Essential algebra terminology and concepts for first-year university students, covering polynomials, sequences, series, and rational functions. Includes the Binomial theorem and an introduction to calculus with polynomials.
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8 Lesons
34 minutes
On-Demand
Free-Video
Ryan O'Donnell

Polynomials

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Explore polynomials, from formal definitions to applications in finite fields, interpolation, and error-correcting codes for noisy communication channels.
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17 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Ryan O'Donnell

Great Ideas in Theoretical Computer Science - Polynomials

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Explore theoretical computer science through polynomials, covering fields, division, evaluation, interpolation, and error-correcting codes. Gain insights into fundamental concepts and their applications.
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23 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Insights into Mathematics

Linear Algebra With Polynomials - Wild Linear Algebra A

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Explore polynomials in linear algebra, covering interpolation, regression, and isomorphism. Learn to apply geometric approaches to transformations and connect polynomial spaces with vector spaces.
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26 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

Lines and Parabolas I - Arithmetic and Geometry Math Foundations

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Explore lines and parabolas using algebraic calculus, covering y-intercepts, slopes, x-intercepts, quadratic polynomials, Taylor expansions, derivatives, and tangent lines in elementary mathematics.
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9 Lesons
40 minutes
On-Demand
Free-Video
Insights into Mathematics

Polynomials and Sequence Spaces - Wild Linear Algebra - NJ Wildberger

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Explore polynomials as sequences, introducing factorial powers and difference operators. Learn about forward/backward differences, Newton's theorem, and formulas for summing series, with practical examples and exercises.
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26 Lesons
1 hour 1 minute
On-Demand
Free-Video
Simons Institute

The Space of Lorentzian Polynomials

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Explore Lorentzian polynomials, projective varieties, and discrete convexity with June Huh. Delve into quadratic forms, M-convexity, and algebraic intuition in this advanced mathematical lecture.
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13 Lesons
59 minutes
On-Demand
Free-Video
Simons Institute

Real-Rooted Polynomials

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Explore real-rooted polynomials, their properties, and connections to combinatorics in this comprehensive lecture covering fundamental theorems, root interlacing, and applications to random spanning trees.
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12 Lesons
33 minutes
On-Demand
Free-Video
Association for Computing Machinery (ACM)

XOR Lemmas for Resilient Functions Against Polynomials

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Explore XOR Lemmas for resilient functions against polynomials, including new structural results and correlation bounds for low-degree polynomials.
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11 Lesons
28 minutes
On-Demand
Free-Video
Derek Banas

Precalculus 3 - Exponents & Polynomials

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Master exponent rules, polynomial operations, and complex synthetic division in this comprehensive precalculus tutorial, preparing you for calculus with essential algebraic skills and techniques.
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1 Lesons
21 minutes
On-Demand
Free-Video
Derek Banas

Precalculus 2 - Systems of Equations, Polynomials, and Real-World Applications

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Master essential precalculus concepts for calculus preparation, including real-world problem-solving, systems of equations, polynomials, and advanced algebraic techniques.
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5 Lesons
26 minutes
On-Demand
Free-Video
Michael Penn

A Classic Trig Identity - Featuring Chebyshev Polynomials

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Explore a classic trigonometric identity derivation using Chebyshev polynomials, enhancing your understanding of advanced mathematical concepts and their applications.
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1 Lesons
31 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - The Division Algorithm for Polynomials

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Explore the division algorithm for polynomials over a field, including its statement and proof, in this concise abstract algebra lesson.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - If D is a UFD then D[x] is a UFD

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Explore the proof that polynomial rings over unique factorization domains are also UFDs, covering key concepts like Gauss' lemma and polynomial factorization in integral domains.
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6 Lesons
26 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Cynthia Vinzant - Log Concave Polynomials and Matroids

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Explore strong log concavity in polynomials, its applications to matroids, and connections to combinatorics and geometry. Learn about recent developments and their implications.
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8 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Sums in Progressions to Squarefree Moduli Among Polynomials Over a Finite Field

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Explore polynomial sums in progressions to squarefree moduli over finite fields, covering Fourier analysis, polynomial anatomy, and arithmetic functions.
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12 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Knot Polynomials from Chern-Simons Field Theory and Their String Theoretic Implications by P. Ramadevi

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Explore knot polynomials, Chern-Simons theory, and string theory connections. Learn about knot classification, invariants, homology, and gauge-string duality in topological strings. Discover M-theory descriptions and brane constructions.
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56 Lesons
1 hour 11 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

How Often Does a Polynomial Take Squarefree Values? by Manjul Bhargava

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Explore the frequency of squarefree values in polynomials with Manjul Bhargava. Delve into number theory concepts, heuristic explanations, and recent developments in this fascinating mathematical topic.
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12 Lesons
32 minutes
On-Demand
Free-Video
Fields Institute

Hilbert Polynomials for Finitary Matroids

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Explore Hilbert polynomials for finitary matroids, covering partial differential fields, operators, and model theory. Gain insights into differential difference fields and convex polyhedra dilation.
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13 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

Shift Operators on Harmonic Hilbert Function Spaces - Von Neumann Inequality - Harmonic Polynomials

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Exploring shift operators, von Neumann inequality, and harmonic polynomials in function spaces, with focus on spherical harmonics and their applications in analysis.
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11 Lesons
34 minutes
On-Demand
Free-Video
IMSA

Polynomials for Quivers and Topological Recursion

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Explore A-polynomials for quivers and their connection to topological recursion in this advanced mathematics lecture by Piotr Sułkowski from the University of Warsaw.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

Braid Monodromy and Divisibility of Alexander Polynomials of Real Singular Curves

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Explores Alexander polynomials in algebraic geometry, focusing on braid monodromy symmetries of real plane curves and their impact on divisibility relations for Alexander invariants.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
IMSA

Alexander Polynomials of Algebraic Links

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Explore Alexander polynomials of algebraic links, their definitions, examples, and connections to algebraic geometry. Discover the relationship between plane curve singularity spectra and link polynomials.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Higher Chow Cycles Arising from Some Laurent Polynomials

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Exploration of higher Chow cycles from Laurent polynomials, focusing on Apéry constants in Fano threefolds and cubic fourfolds with planes, connecting to mirror symmetry and rationality problems.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Professor Leonard

Intermediate Algebra - Factoring Polynomials (Trinomials) With a = 1

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Learn to factor trinomial polynomials with a leading coefficient of 1, a crucial skill for solving algebraic equations and simplifying expressions.
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1 Lesons
54 minutes
On-Demand
Free-Video
Professor Leonard

Intermediate Algebra - Factoring Polynomials (Trinomials) in General

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Learn to factor trinomials and polynomials using various techniques, enhancing your algebraic problem-solving skills and mathematical understanding.
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1 Lesons
54 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 2 - Approximation of Functions by Taylor Polynomials

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Explore the approximation of functions using Taylor polynomials, a powerful mathematical tool for estimating complex functions with simpler polynomial expressions.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Professor Leonard

Finding All Solutions of Polynomials

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Learn to fully factor polynomials over complex numbers and find all solutions, including complex ones, in this comprehensive algebra lesson.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Professor Leonard

Synthetic Division and Long Division of Polynomials - Precalculus - College Algebra

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Learn techniques for dividing polynomials using synthetic and long division methods, essential for understanding the Rational Zeros Theorem in precalculus and college algebra.
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1 Lesons
53 minutes
On-Demand
Free-Video
Professor Leonard

Creating Polynomials from Real Zeros - Precalculus - College Algebra

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Learn to construct polynomial functions from given x-intercepts using factors and the Zero Product Property, enhancing your understanding of algebraic relationships.
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1 Lesons
58 minutes
On-Demand
Free-Video
Professor Leonard

Multiplicity and End Behavior of Polynomials - Precalculus - College Algebra

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Explore multiplicity of zeros, graphing techniques, and end behavior analysis for polynomial functions, enhancing your understanding of advanced algebraic concepts.
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1 Lesons
38 minutes
On-Demand
Free-Video
Professor Leonard

Long Division of Polynomials

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Master the technique of long division for polynomials, focusing on cases where synthetic division isn't applicable. Learn proper setup and execution through detailed examples.
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1 Lesons
35 minutes
On-Demand
Free-Video
Professor Leonard

Special Products of Polynomials

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Learn efficient techniques for multiplying specific polynomial types, exploring patterns and formulas to simplify complex algebraic expressions.
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1 Lesons
20 minutes
On-Demand
Free-Video
Professor Leonard

Distribution of Polynomials

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Learn to multiply polynomials with any number of terms using effective techniques and strategies for solving complex algebraic expressions.
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1 Lesons
23 minutes
On-Demand
Free-Video
Professor Leonard

Distribution of Monomials

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Learn to multiply monomials with polynomials, applying basic distribution and exponent rules for efficient algebraic problem-solving.
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1 Lesons
22 minutes
On-Demand
Free-Video
Professor Leonard

Subtracting Polynomials

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Learn to subtract polynomials effectively by combining like terms, enhancing your algebraic skills and problem-solving abilities in mathematics.
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1 Lesons
21 minutes
On-Demand
Free-Video
Professor Leonard

Introduction to Polynomials

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Learn about polynomials, their creation, and key properties in this concise math lesson. Gain a solid foundation for understanding these essential algebraic expressions.
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1 Lesons
32 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory - Lecture III

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Explore transcendence theory, Baker's Theorem, and the structural rank conjecture. Learn complex analysis and commutative algebra techniques for proving lower bounds on logarithmic matrices.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory - Lecture II

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Explore advanced transcendence theory concepts, focusing on auxiliary polynomials and their applications in proving Baker's Theorem and the Masser-Waldschmidt theorem on logarithmic matrices.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory

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Explore transcendence theory, focusing on Baker's Theorem and the structural rank conjecture. Learn complex analysis and commutative algebra techniques for proving key results in number theory.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Some Properties of the Specht Polynomials

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Explore key properties of Specht polynomials in algebra, geometry, and combinatorics with insights from Junzo Watanabe's research presentation at the Fields Institute workshop.
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1 Lesons
42 minutes
On-Demand
Free-Video
ICTP Mathematics

Normal and Tight Hilbert Polynomials

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Explore normal and tight Hilbert polynomials with P.H. QUY from FPT University, Vietnam. Gain insights into this specialized mathematical topic through an expert presentation.
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1 Lesons
36 minutes
On-Demand
Free-Video
QuantumTopology

Calculation of Colored HOMFLY Polynomials

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Explore advanced techniques for calculating colored HOMFLY polynomials, a powerful tool in knot theory and quantum topology, with expert insights and practical applications.
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1 Lesons
52 minutes
On-Demand
Free-Video
QuantumTopology

HOMFLY Polynomials for Virtual Knots

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Explore HOMFLY polynomials for virtual knots, delving into advanced concepts in quantum topology and knot theory.
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1 Lesons
53 minutes
On-Demand
Free-Video
zainematics

A Level P3 Complex Number

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Master complex numbers and polynomials for A Level P3 with comprehensive practice sessions covering key concepts and problem-solving techniques.
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3 Lesons
8 hours
On-Demand
Free-Video
Joint Mathematics Meetings

Codes from Polynomials Over Finite Fields

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Explore polynomial-based coding theory, focusing on Reed-Solomon and Reed-Muller codes, their properties, and applications in error correction for reliable data transmission over noisy channels.
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20 Lesons
54 minutes
On-Demand
Free-Video
IEEE

Small Covers for Near-zero Sets of Polynomials and Learning Latent Variable Models

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Explore techniques for parameter estimation in Gaussian mixture models and mixtures of linear regressions, focusing on dimension reduction and higher moments to overcome obstacles in learning latent variable models.
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15 Lesons
25 minutes
On-Demand
Free-Video
IEEE

Learning Sums of Powers of Low-Degree Polynomials in the Non-Degenerate Case

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Explore techniques for learning sums of powers of low-degree polynomials, focusing on non-degenerate cases in this advanced mathematical discussion.
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1 Lesons
26 minutes
On-Demand
Free-Video
TheIACR

Cube Attacks on Non Blackbox Polynomials Based on Division Property

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Explore advanced cryptanalysis techniques using division property for cube attacks on non-blackbox polynomials, enhancing understanding of cryptographic vulnerabilities.
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1 Lesons
23 minutes
On-Demand
Free-Video
Insights into Mathematics

Chebyshev and Spread Polynumbers - Exploring the Goh Factorization

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Explore polynomials in number theory, focusing on Chebyshev and spread polynomials. Learn about the Goh factorization and its implications for modern mathematics and computation.
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1 Lesons
29 minutes
On-Demand
Free-Video
Insights into Mathematics

Calculus on the Unit Circle - Arithmetic and Geometry Math Foundations 78

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Explore algebraic calculus on unit circles, covering subderivatives, Taylor expansions, tangents, and 3D visualizations. Gain insights into foundational mathematics with a unique approach to this fundamental topic.
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11 Lesons
35 minutes
On-Demand
Free-Video
Insights into Mathematics

Graphing Polynomials - Arithmetic and Geometry Math Foundations

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Learn to graph polynomials using integer and rational points, explore quartic polynomials, and understand the foundations of mathematical graphing. Gain insights into Cartesian coordinates and tangent lines.
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8 Lesons
38 minutes
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Insights into Mathematics

Tangent Lines and Conics of Polynomials - Math Foundations 71

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Explore tangent lines and conics of polynomials using polynumbers. Learn to define tangents, compute approximations, and understand Taylor expansions in this advanced mathematical exploration.
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8 Lesons
36 minutes
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Insights into Mathematics

Inequalities and Limits in Real Numbers - Math Foundations 107

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Simplified epsilon-delta limit definition for rational polynumbers, with visual interpretation and practical examples. Comprehensive review of inequalities for natural numbers, integers, and rational numbers.
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10 Lesons
35 minutes
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Insights into Mathematics

Alternating and Symmetric Polynumbers - A Missing Chapter of Algebra - Math Foundations 234

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Explore symmetric, alternating, and central polynumbers in algebra. Discover their relationships, product formulas, and significance in mathematics and physics.
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8 Lesons
28 minutes
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Institute for Pure & Applied Mathematics (IPAM)

Sums of Weighted Lattice Points of Polytopes

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Explore connections between polytopes and algebraic combinatorics, focusing on sums of weighted lattice points and their computational implications in estimating maximal weighted lattice points.
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1 Lesons
53 minutes
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Insights into Mathematics

The Fundamental Theorem of Algebra - Challenging Mathematical Orthodoxy

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Challenging the Fundamental Theorem of Algebra: Exploring its limitations, implications for calculus and linear algebra, and the need for a more accurate formulation in rational numbers.
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1 Lesons
23 minutes
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