9.6: Factoring Special Products
Difficulty Level: At Grade
Created by: CK12
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 specialproducts formulas introduced three lessons ago.
Have students use the vocabulary:

a2−b2 is a difference of squares. 
(a+b)(a−b) is the product of a sum and difference. 
a2+2ab+b2 anda2−2ab+b2 are perfect square trinomials. 
(a+b)2 and(a−b)2 are squares of binomials.
The key to factoring special products is recognizing the special form, but also determining what
 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
Error Troubleshooting
General Tip: Remind students to check their solutions by substituting each in the original equation.
Review Question 8 is quadraticlike. Show students that
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binomial
binomial formula
CK.MAT.ENG.TE.1.AlgebraI.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
zeroproduct property
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Solutions
Solution Key
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(43 more)
Problem Sets
Tests
Teacher Edition
Quizzes
Assessment
Inquiry Process
Testing
Problem Solving
Concept Check and Troubleshooting
Enrichment
Teaching Strategies
Differentiated Instruction
distributive property
polynomials
standard form
factoring quadratic expressions
perfect square trinomial
greatest common monomial factor
binomial formula
trinomial
square of a binomial
binomial
simplifying polynomials
leading coefficient
leading term
monomial
linear term
quadratic term
cubic term
degree
constant
coefficients
term
zeroproduct property
degree of polynomials
Pacing
Common Misconceptions
Science Inquiry
Teaching Strategies and Tips
Activities
Worksheets
CK.MAT.ENG.TE.1.AlgebraI.9
Date Created:
Feb 22, 2012
Last Modified:
Aug 22, 2014
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