How to Find Zeros, Multiplicity and End Behavior to Graph of a Polynomial

The video tutorial explains the zero product property and how to apply it to find zeros of a polynomial. It covers undoing exponents by taking roots and discusses the concept of multiplicity, which affects whether a graph crosses or bounces at a zero. The tutorial also guides on sketching polynomial graphs by hand, focusing on end behavior and the impact of leading coefficients.

Describe how to sketch the graph of a polynomial function by hand.

What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?