Determine the Zeros for a Polynomial by Factoring

The video tutorial explains how to determine the behavior of a polynomial by focusing on its leading term, which is the term with the highest exponent. It discusses how the leading term affects the graph's behavior, specifically how it rises or falls. The tutorial also covers finding the zeros of a polynomial using the zero product property and explains the concept of multiplicity of zeros, highlighting how even and odd multiplicities affect the graph's interaction with the x-axis.

What is the leading term when multiplying two polynomials that results in X^2?

How do you determine the degree of a polynomial and what does it signify?

Explain the zero product property and how it is applied in finding the zeros of a polynomial.

How can you express the polynomial in factored form to analyze its zeros?

What does the multiplicity of a zero indicate about the graph of a polynomial?