1. Strategies for Factoring
6.5
Strategies for Factoring
1. Factor polynomials.

2. Write as many perfect squares as you can.
Write as many perfect cubes as you can.

3. Factoring Strategy 1.Factor out the GCF.
2. Is the polynomial a binomial?
Difference of squares:
Sum of squares:
Difference of cubes:
Sum of cubes:

4. Factoring Strategy 3. Is the polynomial a trinomial?
Perfect square trinomial:
Not a perfect square:
Guess & Check
Factoring by Grouping
Illegal Move

5. Factoring Strategy 4. Are there 4 terms? Factoring by Grouping
5. Check by foiling!

6. Factor completely :
GCF:
Binomial:
Trinomial:

7. Factor completely :
GCF:
Binomial:
Trinomial:
4 Terms:

8. Factor completely :
GCF:
Binomial:

9. Copyright © 2011 Pearson Education, Inc.
Factor. 6x2 + 17x + 5
a) (6x + 1)(x + 5)
b) (3x + 1)(2x + 5)
c) (6x + 1)(x – 5)
d) (3x – 1)(2x – 5)
Copyright © 2011 Pearson Education, Inc.
6.5

10. Copyright © 2011 Pearson Education, Inc.
Factor. 6x2 + 17x + 5
a) (6x + 1)(x + 5)
b) (3x + 1)(2x + 5)
c) (6x + 1)(x – 5)
d) (3x – 1)(2x – 5)
Copyright © 2011 Pearson Education, Inc.
6.5

11. Copyright © 2011 Pearson Education, Inc.
Factor. 7y4 + 49y2
a) 7y(y3 + 7y)
b) 7y2(y2 + 49)
c) y2(7y2 + 49)
d) 7y2(y2 + 7)
Copyright © 2011 Pearson Education, Inc.
6.5

12. Copyright © 2011 Pearson Education, Inc.
Factor. 7y4 + 49y2
a) 7y(y3 + 7y)
b) 7y2(y2 + 49)
c) y2(7y2 + 49)
d) 7y2(y2 + 7)
Copyright © 2011 Pearson Education, Inc.
6.5