Explore the characteristics of polynomials in this comprehensive pre-calculus lesson. Learn to identify zeros, multiplicity, and end behavior of polynomials in factored form. Master the skills needed to sketch polynomial graphs using this information. Delve into topics such as speed vs distance, graph of factors, end behavior, multiplicity, leading coefficients, and the Intermediate Value Theorem. Gain practical applications and tips from an instructor who understands the challenges of learning math. Enhance your understanding through deliberate practice and guidance, setting a strong foundation for advanced mathematical concepts.