Determine the Zeros for a Polynomial by Factoring

The video tutorial explains how to analyze a polynomial function, focusing on its end behavior and finding its zeros. The function is first examined for its degree and leading coefficient to determine the end behavior. The process of setting the polynomial equal to zero and factoring it is demonstrated, including the use of the difference of squares. Finally, the tutorial shows how to solve for the zeros and discusses their multiplicities.

What are the zeros of the polynomial function, and how are they determined?

Discuss the multiplicities of the zeros found in the polynomial function.