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Factoring with the GCF

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?

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Factoring with the GCF

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  1. Factoring with the GCF Simplest Type of Factoring

  2. 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

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

  4. 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

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

  6. Try These 3x2 + 12x 3x(x+4) Y4 + 8y3 – 16y2 Y2(y2 + 8y – 16) 15x5 – 25x4 + 35x2 5x2(3x3 – 5x2 + 7)

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