1. Factoring

2. *Greatest Common Factor*
GCF
*Greatest Common Factor*

3. GCF with Variables
Note: With variables, the GCF will always be the smallest exponent of a common variable
Examples:
12x3, 16x2
45a5, 50a7
GCF = 4x2
GCF = 5a5

4. Factor out the GCF Put the GCF outside of (parenthesis).
Divide each term by the GCF.
You will always have the same numbers of terms you start with

5. 16x2 – 8x

6. 10x – 10y

7. 6x3 + 12x2 – 3x

8. Factoring Trinomials

9. To Factor Trinomials…..
*Find 2 numbers that MULTIPLY to get the last term, and ADD to get the middle term.
*Put in the format (x _____)(x_____)
**Sign Tricks:
*If b > 0 and c > 0, then both factors are positive.
*If b < 0 and c > 0, then both factors are negative.
*If b > 0 and c < 0, then the larger factor is positive and the smaller is negative.
*If b < 0 and c < 0, then the larger factor is negative and the smaller is positive.

10. x2 +7x + 6

11. n2 + 2n – 48

12. x2 – 6x + 8

13. x2 + 9x + 14

14. x2 + 8x – 20

15. x2 – 4x – 21

16. Sometimes you can factor out a GCF 1st!

17. 2x2 – 16x + 24

18. 3x2 + 6x – 24