Determine the Zeros for a Polynomial by Factoring

The video tutorial covers polynomial end behavior, focusing on odd-degree polynomials with positive leading coefficients. It explains how to find zeros by setting the output to zero and discusses factoring by grouping as a method for solving polynomial equations. The zero product property is applied to find solutions, and the concept of multiplicity of zeros is explained, emphasizing the importance of the exponent of the factor.

What determines the end behavior of a polynomial graph?

• The degree and leading coefficient

• The number of terms in the polynomial

• The constant term

• The number of zeros

Which method is used to find zeros in a polynomial with four terms?

• Completing the square

• Factoring by grouping

• Synthetic division

• Using the quadratic formula

When factoring by grouping, what is the first step?

• Solve for the variable

• Apply the zero product property

• Group the first two and last two terms

• Factor out the GCF from all terms

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

• By the leading coefficient

• By the exponent of the factor

• By the degree of the polynomial

• By the number of times the zero appears in the factor

What is the multiplicity of a zero if the factor is raised to the first power?

• Two

• Three

• One

• Zero