Download 9A Aim 51 - factoring out a gcf.notebook

9A Aim 51 ­ factoring out a gcf.notebook
9A Aim 51 ­ factoring out a gcf.notebook
Aim #51: How do we factor out the greatest monomial common factor?
Do Now: Distribute 4(2x + 3)
What is the GCF of 8x and 12?
Factor out the GCF: 8x + 12
Factoring is the reverse process of __________________
Factor out the GCF:
5x + 10
Distribute to check your factoring:
Factor each of the following.
2
1. 18x + 30
5
2. 12a + 14a
3 4
4. x y + x y
2
7. 3x + 6x
.
4
3
2 3
5
5. 4x + 4
2
6 3
3. 10x y + 15x y
4
6. 3x - 6x
3
8. 9x y + 6xy + 12x
2 2
3
2 4
9. 2x y - 8xy + 10x y
9A Aim 51 ­ factoring out a gcf.notebook
Practice - Factor each of the following
1. 10ab + 5a
2. 4x + 12
3. 3g3h - 9g2h + 12h
4. 6y2 + 18
5. 27y2 + 18y
6. 6x2y3 + 9xy4 + 18y5
7. 21b - 15a
8. ax2 + bx
9. 2x2y2 - 8xy3 + 10x2y4
10. 2x + 4x2
11. 5ab + 6b2 + 10a2b
12. abc + dbc
Let's sum it up!!!
To factor out a GCF, we
1) find the GCF by finding the biggest number that goes into all of the
numbers evenly, and the biggest variable that we can divide out from each
term.
2) We write the ____ on the outside of the parentheses, and then
__________ the inside by the GCF.
3) We can check our work by using _______________.