Determine the Zeros for a Polynomial by Factoring

The video tutorial explains how to analyze a polynomial function, focusing on determining its end behavior, finding zeros, and understanding multiplicity. The instructor begins by identifying the degree and leading coefficient to predict the graph's behavior. The process of finding zeros involves setting the function to zero and using factoring techniques, such as the grouping method and zero product property. The tutorial also covers solving equations involving differences of squares and discusses the concept of multiplicity for the zeros found.

What is the degree of the polynomial F of X = X^6 - 4X^4 - 9X^2 + 36?

Explain how to determine the end behavior of the polynomial based on its degree and leading coefficient.

Describe the process of finding the zeros of the polynomial F of X = X^6 - 4X^4 - 9X^2 + 36.

What is the grouping method in factoring, and how is it applied to the polynomial in the text?

What are the final zeros of the polynomial, and what does it mean for their multiplicity?