# Factoring Binomials

**I. OBJECTIVES**

At the conclusion of this lesson you should be able to:

1. Factor the difference of two perfect squares.

2. Factor the sum or the difference of two cubes.

**II. PROCEDURE**

Put DVD 6 in and select Section 5.6 While watching the
DVD, follow this study

guide and take notes in the study guide as if you were sitting in a classroom.
Stop

or pause the DVD as needed to catch up or copy something down.

**Perfect Squares**

Difference of Two Perfect Squares

**Sum of Two Perfect Squares**

Perfect Cubes

Perfect Cubes

**Steps for Factoring**

1. Factor out the Greatest Common Factor. (GCF)

2. Count your number of terms.

2 Terms | Sum of Perfect Squares |

Difference of Perfect Squares | |

Sum of Cubes | |

Difference of Cubes |

3 Terms {Trinomial

4 Terms {Factor by Grouping

3. Factor according to number of terms.

4. Multiply back to check.

**STEPS FOR FACTORING
Step 1---Look for common factors (The Greatest Common Factor)
Step 2---Count the number of terms and factor accordingly**

a. Two terms

•Sum of Squares

•Difference of Squares

•Sum of Cubes

•Difference of Cubes

apply the rules for sum of cubes

b. Three terms—Use the “AC (Grouping) Method” or “Trial and Error”

SIGNS FOR FACTORS |
||

MIDDLE TERM | LAST TERM | SIGNS |

+ (positive) | + | both + |

- (negative) | + | both - |

+ (positive) | - | one +, one – larger + |

- (negative) | - | one +, one – larger - |

c. Four terms – factor by grouping

Group by pairs, factor out common factors.