How+to+Factor+GCF

Greatest Common Factor -The largest constant, vartiable, or product is the Greatest Common Factor, or GCF. -The greatest common factor is always the first thing you check for when doing a quadratic expression. __

How to Use GCF
-Find the largest number that goes into all of the terms in an equation. -Rewrite the expression as a product of its prime factors. =[|Factoring Equations]=

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Examples
10x 2 +35x+25 The GCF of each term is 5, so pull out a 5 and put it in front.

5(2x 2 +7x+5)

//*This can be factored down further but it is not using GCF.// //5(2x+3)(x+2)//

4x 2 +8x+12 The GCF of each term is 4, so pull out a 4 and put it in front.

4(x+2)(x+6)

3x 2 +18x-6 In this problem, the GCF of each term is 3, so pull out a 3 and put it in front.

3(x2+6x-2)