# FACTORING POLYNOMIALS

**I. OBJECTIVES**

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

1. Factor trinomials .

2. Factor the difference of perfect squares.

3. Factor the sum and difference of perfect cubes .

4. Factor algebraic expressions containing fractional and negative exponents

**II. PROCEDURE**

Put DVD 1 in and select Section P5. 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.

**Factor the Greatest Common Factor ( GCF )**

Turn in your textbook to page 66.

Problem #4.

Turn in your textbook to page 66.

Problem #8.

**Factor by Grouping**

Turn in your textbook to page 66.

Problem #14.

Turn in your textbook to page 66.

Problem #24.

Turn in your textbook to page 66.

Problem #68.

Turn in your textbook to page 66.

Problem #28.

**Difference of Two Perfect Squares**

Turn in your textbook to page 66.

Problem #44.

**Sum of Two Perfect Squares**

Turn in your textbook to page 66.

Problem #48.

Turn in your textbook to page 66.

Problem #66.

**Sum and Difference of Perfect Cubes**

Turn in your textbook to page 66.

Problem #64.

Turn in your textbook to page 66.

Problem #60.

Turn in your textbook to page 66.

Problem #94.

Turn in your textbook to page 66.

Problem #96.

Turn in your textbook to page 66.

Problem #100.

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** prime

**•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 FACTORING |
||

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.**

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