1. Multiply (x + 3) (x + 6) (x + 2) (x + 9) (x + 1) (x + 18)
Warm-Up
Multiply
(x + 3) (x + 6)
(x + 2) (x + 9)
(x + 1) (x + 18)

2. Warm-Up #2
GCF Factor
6x + 18
3x2 + 12x
45x4 + 60x2

3. Factoring Trinomials and Difference of Two Perfect Squares

4. Sign Rule for Factoring Trinomials:
When the last term is POSITIVE…
The signs inside the parenthesis will be the SAME as the middle number’s sign

5. Figuring out the Numbers
Check to see…
What multiplies to give you the last number AND adds to give you the middle number?

6. x2 +7x + 6
( )( ) x x
+ 6
+ 1

7. x2 + 9x + 14
( )( ) x x
+ 7
+ 2

8. x2 – 6x + 8
( )( ) x x
– 4
– 2

9. x2 – 10x + 16
( )( ) x x
– 8
– 2

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

11. 2x2 – 16x + 24
2(x2 – 8x +12)
2( )( ) x x
– 6
– 2

12. You Try...
3y2 + 36y + 60
3(y +10)(y +2)
4x2 +24x + 32
4(x + 2)(x + 4)

13. Sign Rule for Factoring Trinomials:
When the last term is NEGATIVE…
The parenthesis will have DIFFERENT SIGNS.
The larger factor will have the SAME sign as the middle number

14. n2 + 2n – 48
( )( ) n n
+ 8
– 6

15. x2 + 8x – 20
( )( ) x x
– 2
+ 10

16. x2 – 4x – 21
( )( ) x x
+ 3
– 7

17. x2 – 9x – 36
( )( ) x x
+ 3
– 12

18. 2x3 + 18x2 + 28x

19. c4 + 2c3 – 80c2

20. 3x2 + 6x – 24

21. 5x2 + 5x – 10

22. 3x3 – 6x2 – 45x

23. 3x3 – 39x x

24. Difference of Two Perfect Squares

25. Factoring Difference of Two Squares
Both terms must be Perfect Squares and have a MINUS between them
Check the binomial for GCF
Use two sets of parenthesis (one’s a plus, one’s a minus)
Split up what it takes to make the 1st a perfect square and what it takes the 2nd to be a perfect square

26. Difference of Two Squares
Factor

27. Difference of Two Squares
Factor

28. 2x3 – 162x

29. 16x2 – 36

30. Classwork
Finish Worksheet