Mastering Polynomial Graphs and Zeros

Miacademy & MiaPrep Learning Channel

This comprehensive math tutorial serves as a rigorous review of the Polynomial Graphs unit, guiding students through the essential techniques for analyzing and graphing polynomial functions. The video systematically revisits core algebraic skills, including finding zeros of both factored and non-factored polynomials, factoring cubic expressions, and using number lines to determine the sign of functions over specific intervals. The content advances into the graphical characteristics of polynomials, exploring how the multiplicity of zeros determines whether a graph crosses or bounces at the x-axis. It further explains how to determine end behavior based on the leading coefficient and degree, and concludes with practical applications of the Remainder Theorem and Factor Theorem to identify roots and factors. Ideal for Algebra II and Pre-Calculus classrooms, this video connects algebraic manipulation with visual understanding. It effectively models problem-solving strategies for identifying functions from graphs and vice versa, making it a valuable resource for unit reviews, exam preparation, or remediating complex topics regarding polynomial behavior.