# 9.6: Factoring Special Products

Difficulty Level:

**At Grade**Created by: CK-12## Learning Objectives

At the end of this lesson, students will be able to:

- Factor the difference of two squares.
- Factor perfect square trinomials.
- Solve quadratic polynomial equation by factoring.

## Vocabulary

Terms introduced in this lesson:

- recognizing special product
- factoring perfect square trinomials
- quadratic polynomial equations
- double root

## Teaching Strategies and Tips

Emphasize that students are reversing the special-products formulas introduced three lessons ago.

Have students use the vocabulary:

- is a difference of squares.
- is the product of a sum and difference.
- and are perfect square trinomials.
- and are squares of binomials.

The key to factoring special products is recognizing the special form, but also determining what and are.

- Recognizing perfect integer squares, for example, may be difficult to some students. Suggest that students break numbers down into prime factorization first. See Example 2.

Remind students to pull out and/or the GCF in a polynomial before attempting to factor it. This simplifies the task dramatically.

## Error Troubleshooting

General Tip: Remind students to check their solutions by substituting each in the original equation.

*Review Question* 8 is quadratic-like. Show students that .

### Image Attributions

## Description

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## Tags:

Activities
Answer Key
Answers
(43 more)
Assessment
binomial
binomial formula
CK.MAT.ENG.TE.1.Algebra-I.9
coefficients
Common Misconceptions
Concept Check and Troubleshooting
constant
cubic term
degree
degree of polynomials
Differentiated Instruction
distributive property
Enrichment
factoring quadratic expressions
greatest common monomial factor
Inquiry Process
leading coefficient
leading term
linear term
monomial
Pacing
perfect square trinomial
polynomials
Problem Sets
Problem Solving
quadratic term
Quizzes
Science Inquiry
simplifying polynomials
Solution Key
Solutions
square of a binomial
standard form
Teacher Edition
Teaching Strategies
Teaching Strategies and Tips
term
Testing
Tests
trinomial
Worksheets
zero-product property

## Subjects:

## Date Created:

Feb 22, 2012## Last Modified:

Aug 22, 2014
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