Determine the Zeros for a Polynomial by Factoring

The video tutorial explains how to determine the end behavior of a polynomial graph based on the exponent and leading coefficient. It then demonstrates finding the zeros of the function by factoring and applying the zero product property. Finally, it discusses the concept of multiplicity and how it affects the graph's behavior at the zeros, indicating whether the graph crosses or touches the x-axis.

What is the significance of the multiplicity of a zero in relation to the graph of a polynomial function?

How does the graph behave at a zero with odd multiplicity compared to one with even multiplicity?