Transcript Lesson 3.5B

Factoring Polynomials
• How do we use the Factor Theorem to
determine factors of a polynomial?
• How do we factor the sum and difference
of two cubes
Holt McDougal Algebra 2
Factoring Polynomials
Example 1: Factoring by GCF
Factor each of the following.
a. 24 y  32 y
3
8 y 3 y  4 
2
c. 6n  18n
8
3
6n  n  3 
3
5
Holt McDougal Algebra 2
b. x  3x  5 x
4
3
2
x  x  3x  5 
2
2
d. 9a b  24a b  15ab
3 5
2 7
3ab  3a  8 a b  5b
5
2
2
4
9

Factoring Polynomials
Example 2: Factoring by Grouping
Factor each of the following.
a. x  2 x  5 x  10
3
x
2
2
 x  2
x
2
 5  x 2
 5 x  2 
b. x  3 x  2 x  6
3
x
2
2
 x  3
x
2
 2  x 3
 2  x  3
Holt McDougal Algebra 2
Factoring Polynomials
Example 2: Factoring by Grouping
Factor each of the following.
c. 6 x  5 x  12 x  10
3
2
x 6 x  5   2  6 x  5
2
x
2
 2  6 x  5 
d. 3 x  7 x  24 x  56
3
2
x  3 x  7  8  3 x  7
2
x
2
 8  3 x  7 
Holt McDougal Algebra 2
Factoring Polynomials
Lesson 3.5 Practice B
Holt McDougal Algebra 2