1. Factoring a Trinomial with Last Term Positive Rule:
The sign of b will be the sign that goes inside BOTH parenthesis

2. Warm Up – FACTOR (3m – 1)(m – 9) (2g + 3)(g + 2) 3m2 – 28m + 9

3. Last Term NEGATIVE

4. Factoring a Trinomial with Last Term Negative Rule:
If b is Positive, then the larger number on the loop will need to be positive.
If b is Negative, then the larger number on the loop will need to negative.

5. 1. 3x2 – 20x – 7
( )( ) x 3x
+ 1
– 7

6. 2. 2x2 + 3x – 5
( )( ) 2x x
+ 5
– 1

7. 3. 5m2 + 14m – 3
( )( ) 5m
– 1 m
+ 3

8. 4. x2 + 8x – 9
( )( ) x
+ 9 x
– 1

9. 5. 2m2 – 3m – 9
( )( ) 2m m
+ 3
– 3

10. 6. 2x2 – 11x – 21
( )( ) 2x
+ 3 x
– 7

11. 7. 3x2 – 5x – 12
( )( ) 3x
+ 4 x
– 3

12. (7y + 2)(y – 4) (4x – 5)(x + 3) 8. 7y2 – 26y – 8 9. 4x2 + 7x – 15
You Try...
8. 7y2 – 26y – 8
(7y + 2)(y – 4)
9. 4x2 + 7x – 15
(4x – 5)(x + 3)

13. (4x – 5)(x + 1) (3x + 4)(3x – 7) 10. 4x2 – x – 5 11. 9x2 – 9x – 28
You Try...
10. 4x2 – x – 5
(4x – 5)(x + 1)
11. 9x2 – 9x – 28
(3x + 4)(3x – 7)

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

15. x2y – 18xy – 27y
-3y(x2 + 6x + 9)
-3y( )( ) x x
+ 3
+ 3

16. Preview Difference of Squares
x2 – 25
(x + 5)(x – 5)

17. Teach Me How To Factor