Holt Algebra 1 8-2 Factoring by GCF 8-2 Factoring by GCF Holt Algebra 1 Warm Up Lesson Presentation Lesson Quiz Section 8-2 1
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Holt Algebra 1
8-2 Factoring by GCF8-2 Factoring by GCF
Holt Algebra 1
Warm Up
Lesson Presentation
Lesson Quiz
Section 8-2 1
Holt Algebra 1
8-2 Factoring by GCF
Bell Quiz 8-2
1. 2(w + 1)
2. 3x(x2 – 4)
Simplify.
Find the GCF of each pair of monomials.
3. 4h2 and 6h
4. 13p and 26p5
10 pts
possible
2 pts
2 pts
3 pts
3 pts
Section 8-2 2
Holt Algebra 1
8-2 Factoring by GCF
Questions on 0-9/8-1
Section 8-2 3
Holt Algebra 1
8-2 Factoring by GCF
Factor polynomials by using the greatest common factor.
Objective
Section 8-2 4
Holt Algebra 1
8-2 Factoring by GCF
Recall that the Distributive Property states that ab + ac =a(b + c). The Distributive Property allows you to “factor” out the GCF of the terms in
a polynomial to write a factored form of the polynomial.
Section 8-2 5
Holt Algebra 1
8-2 Factoring by GCF
Example 1: Factoring by Using the GCF
Factor each polynomial. Check your answer.
A: 2x2 – 4
B: 8x3 – 4x2 – 16x
C: –14x – 12x2
D: 3x3 + 2x2 – 10
Section 8-2 6
Holt Algebra 1
8-2 Factoring by GCF
When you factor out –1 as the first step, be sure to include it in all the other steps as well.
Caution!
Section 8-2 7
Holt Algebra 1
8-2 Factoring by GCF
Check It Out! Example 1Factor each polynomial. Check your answer.
a: 5b + 9b3
b: 9d2 – 82
c: –18y3 – 7y2
d: 8x4 + 4x3 – 2x2
Section 8-2 8
Holt Algebra 1
8-2 Factoring by GCF
Example 2: Science Application
SKIPSKIPSKIPSKIP
Section 8-2 9
Holt Algebra 1
8-2 Factoring by GCF
Sometimes the GCF of terms is a binomial. This GCF is called a common binomial factor. You factor out a common binomial factor the same way you factor out a monomial factor.
Section 8-2 10
Holt Algebra 1
8-2 Factoring by GCF
Example 3: Factoring Out a Common Binomial Factor
Factor each expression.
A. 5(x + 2) + 3x(x + 2)
B. –2b(b2 + 1)+ (b2 + 1)
Section 8-2 11
Holt Algebra 1
8-2 Factoring by GCF
Check It Out! Example 3
Factor each expression.
a. 4s(s + 6) – 5(s + 6)
b. 7x(2x + 3) + (2x + 3)
Section 8-2 12
Holt Algebra 1
8-2 Factoring by GCF
You may be able to factor a polynomial by grouping. When a polynomial has four terms, you can make two groups and factor out the GCF from each group.
Section 8-2 13
Holt Algebra 1
8-2 Factoring by GCF
Example 4: Factoring by Grouping
Factor each polynomial by grouping. Check your answer.
A: 6h4 – 4h3 + 12h – 8 B: 9x3 + 18x2 + x + 2 Add to packet notes
Section 8-2 14
Holt Algebra 1
8-2 Factoring by GCF
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Section 8-2 15
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