Post on 19-Jun-2015
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Factoring by using theGreatest Common Factor (GCF)
Lesson 2.5
Page 77
Recall finding the Prime Factorization of a number
1.
2.
20 5 4 5 2 2
2150x 15 10 x x 5 3 5 2 x x 2 3 5 5 x x
2 2 5
Finding the GCF
The GCF is the product of the common factors in each term of the polynomial.
4 2Factor the GCF out of 14 21 .x x
414 2 7 xxx xx 221 3 7 xx x
Then use the distributive property to factor the GCF out of the
polynomial.27 GCF o xr 7x x
2 2 24 7 (1 3)14 22x x xx
When you factor the GCF out of a polynomial,
what remains in each term goes in parentheses.
Find the GCF of the following:
1.
2.
3.
315 , 20xx 5x3 2 2 28 , 12abc a b c
24abc2 4 36 , 15x y x yz
23x y
Factor out the greatest common monomial factor.
The GCF is 8.
8 8x y
8( )x y
Factor out the greatest commonmonomial factor.
4 214 35a a2The GCF is 7 .a
2 27 (2 5)a a
Try the following.
3
5 4
2
1. 4 6
2. 44 33
3. 6 14
4. 15 5
r rs
m mn
y y
a b ab
Answers:
1. 2 (2 3 )r s22. 11 (4 3 )m m n
43. 2 (3 7)y y
4. 5 (3 1)ab a
Homework Assignment:
Page 79 # 13 – 21 all
Page 80 # 10 – 18 all