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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.