Greatest+Common+Factor+(GCF)

What is a GCF?
 * The greatest common factor in a quadratic expression is the largest **constant, variable, or product**of a constant and variable that can go into each term
 * Example: 4x 2 + 2x + 6
 * The GCF of these numbers would be 2
 * When you use the phrase "factor out", it means divide by.

When to use GCF
 * You should you use GCF factoring when an expression contains numbers that contain a greatest common factor.
 * Previous Example: 4x 2 + 2x + 6
 * Other Examples: 6x 2 + 12x +3x

How to factor using GCF'
 * Take the example 2x 2 + 4x + 2
 * First, you would find the greatest common factor of all the terms
 * 2 would be the GCF
 * Then, you would put the equation in parenthesis and divide each term by the GCF, and put the GCF in front of the parenthesis
 * 2(x 2 + 2 X + 1)
 * Next, you would apply FOIL to the equation, the GCF remains outside of the parenthesis
 * 2(x+1)(x+1)
 * Lastly, you would check to make sure your equation is right

Other example:

3x 2 - 6x - 9 3(x 2 - 2x - 3) 3(x + 1 )(x - 3)

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