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How do we factor a polynomial by its GCF?


Greatest Common Factor

Step One:

Find the greatest common factor of the coefficients.

Step Two:

Find the GCF of each variable by take the one with the smallest exponent. Note: All the terms in the polynomial must have a variable in order to be apart of the GCF.

Step Three:

Put all the GCF's together using multiplication in front of a set of parenthesis.

Step Four:

Divide the original polynomial by the GCF to get what should be inside the parenthesis.

Step Five:

Multiply to check. You should get the original back.

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