Simplest Type of Factoring

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Presentation transcript:

Simplest Type of Factoring Factoring with the GCF Simplest Type of Factoring

Is there something common in ALL terms? GCF= Greatest Common Factor First look at the numbers. Is there a common factor with the numbers in all terms? Next look at the variables. Is there a common (or more than one) variable each term? You will use the one with the smallest exponent in your GCF

What you have found is the GCF You will divide each term by the GCF. This is basically working the Distributive Property backwards.

Try Factoring 4x2 – 6x First look at the numbers. What will go into both 4 and 6? Yes…2 Now look at the variables. Is there a variable(s) common to EACH term. Yes…x Use the one with the smallest exponent Now divide each term by what you have found……2x

Factoring 4x2 – 6x 4x2÷2x – 6x÷2x That will result in 2x(2x – 3)

Try These 3x2 + 12x 3x(x+4) Y4 + 8y3 – 16y2 Y2(y2 + 8y – 16)