Learning to Find the Zeros and Multiplicity of a Polynomial in Factored Form

The video tutorial explains how to find zeros of a polynomial by setting it to zero and applying the zero product property. It demonstrates solving for X by adding and taking cube roots, and discusses the concept of multiplicity, emphasizing the importance of linear factors and their powers. The tutorial concludes with a summary of how zeros with multiplicity affect the graph.

How do you verify that both factors are linear before analyzing their powers?

What can you conclude about the behavior of the graph at the zeros based on their multiplicity?