Determine the Zeros for a Polynomial by Factoring

The video tutorial explains how to analyze a polynomial function, G of T, by determining its end behavior and finding its zeros. The instructor uses the FOIL method to expand terms and highlights the importance of the leading coefficient in determining the graph's end behavior. The process of finding zeros is simplified by using the function's factored form, and the concept of multiplicity is discussed to understand the nature of the zeros.

How does the leading coefficient affect the end behavior of a polynomial graph?

Describe the method used to simplify the polynomial before finding its zeros.