How to use the zeros and multiplicity to graph the equation of a polynomial

The video tutorial explains how to find the zeros of an equation by setting it equal to zero and applying the zero product property. It then covers how to graph these zeros by plotting them as x-intercepts and understanding their multiplicity, which determines if the graph crosses or bounces at these points. The tutorial also discusses the end behavior of the graph, determined by the degree and leading coefficient, and concludes by connecting the graph points based on these factors.

What is the first step in finding the zeros of an equation?

• Multiply the terms

• Factor the equation

• Graph the equation

• Set the equation equal to zero

How do you determine if a graph crosses or bounces at a zero?

• By looking at the degree of the polynomial

• By plotting the graph

• By checking the leading coefficient

• By examining the multiplicity of the factor

What does an odd multiplicity indicate about a zero on a graph?

• The zero is not on the graph

• The zero is a turning point

• The graph bounces at the zero

• The graph crosses at the zero

What determines the end behavior of a polynomial graph?

• The x-intercepts

• The degree and leading coefficient

• The multiplicity of the factors

• The number of zeros

If a polynomial has a degree of 3 and a positive leading coefficient, what is the end behavior?

• Falls left, falls right

• Rises left, rises right

• Falls left, rises right

• Rises left, falls right