# Factoring

## The First Rule – Always Factor out the Greatest Common Factor (GCF)!

 When factoring any polynomial, always remove any factors common to all the terms in the polynomial. This will greatly simplify any subsequent steps . Factoring Formulas

## Factoring Formulas

Several factoring situations can be factored with a formula:

 Difference of Squares Difference of Squares Difference of Cubes Difference of Cubes Sum of Cubes Sum of Cubes Perfect Square Trinomials Perfect Square Trinomials

## Factoring General Trinomials

 General Trinomials: 1) Guess and check – write down combinations of factors and look for one that works. 2) If that doesn’t work, you can try to factor via grouping . Find two values m, n such that m ∙ n = a ∙ c and m + n = b 2) Replace bx with mx + nx. 3) The result, , can always be factored via grouping.

## Factoring via Grouping

 Some third order polynomials can be factored by factoring out a common factor from the first two terms and the last two terms. If the remainder is the same, then the polynomial is factorable in this way.
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