Graphing Polynomial Equations — Everything You Need To Know For Pre-Calculus!

This video will cover how to graph polynomials by determining their end behavior and finding the polynomial's zeros (x-intercepts) and their multiplicities.

0:00 — Introduction to Polynomials (Examples and Degrees)
1:15 — Process of Graphing a Polynomial (End Behavior, Zeros of Polynomial)
2:05 — End Behavior (How Degree and Sign of Leading Coefficient Affect End Behavior, Examples)
6:12 — Zeros and Multiplicities (With Examples)
10:18 — Desmos Visualization (Odd vs Even Multiplicities)
11:35 — Example 1: Graph f(x) = x^3 + x^2 [Step by Step]
14:35 — Example 2: Graph f(x) = -x(x+1)^2 [Step by Step]