Determine the Zeros by Factoring an Find Multiplicity

The video tutorial covers methods for factoring and solving equations, focusing on the importance of factoring when possible. It explains the concept of multiplicity, how to determine it, and its role in solving equations. The tutorial also discusses graphing polynomials, highlighting how multiplicity affects the graph's behavior at zeros and the overall end behavior of the polynomial.

Which of the following methods is NOT mentioned as a way to solve polynomial equations?

• Completing the square

• Synthetic division

• Quadratic formula

• Factoring

What is the first step in solving a polynomial equation by factoring?

• Applying the rational zero test

• Setting the equation equal to zero

• Graphing the polynomial

• Using the quadratic formula

How is the multiplicity of a zero determined?

• By the leading coefficient of the polynomial

• By the degree of the polynomial

• By the exponent of the factor associated with the zero

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

What does a multiplicity of 2 indicate about the graph at that zero?

• The graph crosses the x-axis

• The graph touches and rebounds at the x-axis

• The graph has a vertical asymptote

• The graph has a horizontal asymptote

What determines the end behavior of a polynomial graph?

• The degree and leading coefficient of the polynomial

• The multiplicity of the zeros

• The constant term in the polynomial

• The number of terms in the polynomial