*Remember FOILing?
( x

4)( x

3)
_____________________ is the opposite of ______________________________.
RECALL:
Factor by grouping: 2 x
2
+ 4 x – 3 ax – 6 a
STEPS FOR FACTORING: Standard Form: ax
2
+ bx + c
Step 1: Determine the _________________. We find this by multiplying the coefficients ________ together.
Step 2: Determine the _______________. This is the coefficient ______.
Step 3: Determine which factors of the target product will add to get the target sum.
Step 4: _____________________________ term to be two terms (the factors we chose in Step 3 ).
Step 5: Factor by grouping.
Examples:
Factor the following trinomials. Remember to pull GCF’s out FIRST!!! a. x
2 
4 x

3 b. 2 x
2 
16 x

30 c. a
2 
2 a

10 d. x
2 
5 xy

6 y
2

YOUR TURN: a. x
2 
4 x

12 c. 5 x
2
+ 7 x + 2 e. 3 x
2
+ 11 x + 6 g. 10 x
2
– 13 xy – 3 y
2 f. 2 x
2
+ 13 x – 7 h. 24 x b. d. 8 x
2
4
+ 40 x
– 24 x
3
+ 6
+ 18 x
3 x
2 
9 xy

12 y
2
2