1. Multiply (x+3)(2x-7) Factor 3. 42x – 7
Opener
Multiply
(x+3)(2x-7)
Factor
3. 42x – 7

2. Homework Check

3. Skills Check

4. Factoring Trinomials and Difference of Two Perfect Squares

5. Sign Rule for Factoring Trinomials:
When the last term is POSITIVE…
The signs inside the parenthesis will be the SAME Look at b for the sign
Front are factors of a
Last factors of c that will add to get b.

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. Sometimes you can factor out a GCF 1st!

10. x2 – 10x + 16
( )( ) x x
– 8
– 2

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

12. Opener..
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. c4 + 2c3 – 80c2

19. 3x2 + 6x – 24

20. Opener Match the problems with the signs of the factors.
x2 - 6x + 8 i. Both signs are positive.
x2 + 6x + 8 ii. Both signs are negative.
C. x2 - 7x iii. They have different signs.

21. 2x3 + 18x2 + 28x

22. 5x2 + 5x – 10

23. 3x3 – 6x2 – 45x

24. 3x3 – 39x x

25. Difference of Two Perfect Squares

26. 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

27. Difference of Two Squares
Factor

28. Difference of Two Squares
Factor

29. 2x3 – 162x

30. 16x2 – 36

31. Classwork
Worksheet