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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!

User Svetoslav
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1 Answer

4 votes

Answer:

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.

Choose the polynomial graph with a; root of -1 with a multiplicity of 1, root of 3 with-example-1
User Tgreen
by
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