Question

Choose the polynomial graph with a; root of -1 with a multiplicity of 1, root of 3 with a multiplicity of 2

Please graph it so I can see the graph.
Thank you sooo much!

Answer 1

See explanation

Explanation:

If a root of -1 is with a multiplicity of 1, then the polynomial has a factor of
`x-(-1)=x+1.`

If a root of 3 is with a multiplicity of 2, then the polynomial has a factor of
`(x-3)^2.`

Then the polynomial function will be of the form

`f(x)=a(x+1)(x-3)^2`

There are two cases,
`a>0` and
`a<0`

Two graphs are attached.