Try the Free Math Solver or Scroll down to Resources!

Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

Math solver on your site

Please use this form if you would like
to have this math solver on your website,
free of charge.

Name:

Email:

Your Website:

Msg:

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

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.