Factoring Review Review Tying it All Together Shortcut for the Shortcuts

Greatest Common Factor (GCF)  Look for the largest common number and/or variables in each term  Divide each term by the common terms 2

Rainbow Method (2 nd degree Polynomial) 3

Difference of 2 Squares Steps  Verify the 2 terms are perfect squares  Write in the form of:  Use the Formula  Remember there is no formula for the sum of 2 squares! 4

Difference of 2 Squares 5

Example  Factor 6

Example  Factor 7

Difference of 2 Squares and GCF  Factor 8

Perfect Square Trinomials 9

Example  Factor 10

Example  Factor 11

Special Rules  Difference of Squares  Perfect Square Trinomials 12

Special Rules  Which formula do you use to factor: 13

Tying It All Together 14 Common Terms? GCF 2 Terms or 3 Terms? Perfect Square? Factored! Perfect Square Trinomial Rule Rainbow Method + or - ? Both Terms Perfect Squares? Difference of Squares Yes No Yes 3 No

Shortcut to the Shortcut  Perfect Square Trinomial Check (Middle Term) 15

Example 16