IXL | Factor out a monomial

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

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question

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

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key idea

To factor a polynomial, first find the greatest common factor (GCF) of each monomial. Then factor out the greatest common factor using the distributive property.

solution

First, factor each monomial and find the common factors.

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The common factors are 2,

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Multiply them to find the greatest common factor.

The greatest common factor is

Now factor out

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(

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)

The factored form of the polynomial is

(

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Looking for more? Try these:

Lesson: Factoring expressions

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Teacher tools

Work it out

Not feeling ready yet? These can help:

L.6Factors of linear expressions

Common monomial factors

Lesson: Factoring expressions

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