1. = x2 + 8x + 12 = x2 – 81 = x2 – 6x + 9 = 2x2 + 5x – 25 = x2 – 16
Warm-up (hw in the back of the door)
Find the product.
(x + 2)(x + 6)
(x – 9)(x + 9)
(x – 3)2
(2x – 5)(x + 5)
(x + 4)(x – 4)
= x2 + 8x + 12
= x2 – 81
= x2 – 6x + 9
= 2x2 + 5x – 25
= x2 – 16

2. What do these have in common??
ALL ANIMALS

3. What do these have in common??
ALL FLY

4. What is the greatest common factor??36 24
The number 12

5. What is the greatest common factor??35
The number 5

6. What is the greatest common factor??3y
-8xy y

7. What is the greatest common factor??
-11x
22x2
11x

8. What is the greatest common factor??
-4x6-x4-2x2
-x2

9. Factoring means to write as a product
Always look for a Greatest Common Factor 1st.
Factor 4x + 6y
What is their greatest common factor?
= 2( ) 2x
+ 3y

10. = y( ) 3 – 8x = 2a( ) a2 – 3b2 Factor 3y – 8xy 2a3 – 6ab2
What is their GCF?
= y( ) 3
– 8x
2a3 – 6ab2
= 2a( ) a2
– 3b2

11. = 2k( ) h2 + 1 = 3v( ) 2u + 3v Factor 2h2k + 2k 6uv + 9v2
What is their GCF?
= 2k( ) h2
+ 1
6uv + 9v2
= 3v( ) 2u
+ 3v

12. 10.5 Factoring ax2 + bx + c when a = 1
What two numbers multiply to give you 8, but add to give you 6? 8 6

13. Write two sets of parenthesis and fill in the numbers.
To FACTOR a trinomial means to write it as the product of two binomials.
Factor x2 + 6x + 8 8
Write two sets of parenthesis and fill in the numbers.
What two numbers multiply to give you the last number…
and add to give you the middle number?
(x ) (x )
(x + 2) (x + 4) 6

14. (x - 2) (x - 1) (x ) (x ) Factor x2 - 3x + 2 2 -2 -1 -3
Ex: 1
Factor x2 - 3x + 2
(x - 2) (x - 1)
(x ) (x )
What two numbers multiply to give you the last number… 2
and add to give you the middle number? -3

15. Ex: 2
Factor x2 - 2x - 8
(x - 4) (x + 2) -8 -2

16. Ex: 3
Factor x2 - 5x - 14
- 14
(x - 7) (x + 2)
(x ) (x )
- 5

17. (x ) (x ) (x - 8) (x - 8) Same thing as (x - 8)2
Ex: 4
Factor x2 - 16x + 64 64
(x ) (x )
(x - 8) (x - 8)
Same thing as (x - 8)2
- 16

18. Ex: 5
Factor x2 - x - 42
- 42
(x ) (x )
(x - 7) (x + 6)
- 1

19. Solve the equation by factoring
Ex: 6 12
x2 - 8x + 12 = 0
(x )(x ) = 0 -8
- 6
- 2
x - 6 = or x – 2 = 0
x = or x = 2

20. Solve the equation by factoring
Ex: 7
x2 - 7 = - 6x
- 7
x2 + 6x - 7 = 0
(x )(x ) = 0 6
- 1
+ 7
x - 1 = or x + 7 = 0
x = or x = -7

21. Let’s practice!!! Little Worksheet
(write PRIME if it cannot factor)