Determine the Zeros for a Polynomial by Factoring

The video tutorial explains how to analyze polynomial functions by determining their end behavior, finding zeros, and understanding multiplicity. It begins with a discussion on function naming and the importance of descending order for end behavior analysis. The tutorial then covers the process of finding zeros using factoring and the zero product property. Finally, it explains how to determine the multiplicity of zeros by examining the degree of factors.

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

• Rises left and rises right

• Falls left and rises right

• Falls left and falls right

• Rises left and falls right

What is the first step in finding the zeros of a polynomial function?

• Set the output value to zero

• Graph the function

• Differentiate the function

• Integrate the function

When applying the zero product property, what must be true about the polynomial?

• It must be in standard form

• It must be a quadratic

• It must have a degree of 3

• It must be factored

How do you determine the multiplicity of a factor in a polynomial?

• By checking the constant term

• By looking at the coefficient

• By examining the degree of the factor

• By finding the derivative

What is the multiplicity of a factor if its exponent is 2?

• 1

• 2

• 4

• 3