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.

What is the primary concern when determining the end behavior of a polynomial function?

• The lowest exponent

• The middle term

• The leading coefficient

• The constant term

How can the zeros of a polynomial function be found?

• By graphing the function

• By finding the derivative

• By setting the polynomial equal to zero

• By integrating the function

What happens to the leading coefficient when finding the zeros of a polynomial?

• It is ignored

• It is added to the constant term

• It is divided out

• It is multiplied by zero

Why is it beneficial to have a polynomial in factored form when finding zeros?

• It reduces the degree of the polynomial

• It allows direct identification of zeros

• It makes integration easier

• It simplifies the graphing process

What is the multiplicity of a zero if the factor has an exponent of two?

• Four

• One

• Two

• Three