Create a factorable polynomial with a GCF of 7. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

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Mathematics

Trace

22 March, 20:20

Create a factorable polynomial with a GCF of 7. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

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Answers (1)

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Carolyn Lee · Answer 1

This looks like an odd problem.

Just start with a simple expression with 7 as a factor, and then multiply it out.

For example:

7 (x+1) (x+2)

Here 7 could be the GCF.

Now multiply it out:

7 (x^2+3x+2) =

7x^2+21x+14

So our factorable polynomial is 7x^2+21x+14

And its two equivalent forms are:

7 (x^2+3x+2) and7 (x+1) (x+2)