Hello, oceanmd!

You are expected toknowa few things . . .

This is a seventh-degree polynomial . . . It will have seven zeros.Given: .

1. How many zeros does the polynomial have?

. . [They may not be distinct or real.]

There are three distinct zeros: .2.What are the distinct zeros?

3.Give the multiplicity of each zero.

The multiplicity of each factor is given by itsexponent.

has multiplicity 2

has multiplicity 3.

has multiplicity 2.

4. Which zeros cross the x-axis?

5. Which zeros touch the x-axis?

If the multiplcity is odd, the graph cross the x-axis.

If the multiplicity is even, the graph is tangent to the x-axis.

. . Got it?