1. FACTORING WHEN a=1

2. What does it mean to factor?
To factor is to UNDO multiplication
Before we multiplied (x+1)(x+4) to get x2+5x+4
Now we are going to factor x2+5x+4 to get (x+1)(x+4)
(x+1) and (x+4) are called factors

3. Figuring out the Factors
You want 2 numbers that
multiply to give you c AND
add to give you b?

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

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

6. x2 – 6x + 8
x2 – 6x + 8
( )( ) x x
– 4
– 2

7. x2 – 10x + 16
x2 – 10x + 16
( )( ) x x
– 8
– 2

8. Sign Rule: When C is POSITIVE…
The signs of both factors will be the SAME as the sign of b

9. Sometimes you can factor out a GCF first
Sometimes you can factor out a GCF first! Look for something all terms have in common

10. 2x2 – 16x + 24
2(x2 – 8x +12)
2( )( ) x x
– 6
– 2

11. n2 + 2n – 48
( )( ) n n
+ 8
– 6

12. x2 + 8x – 20
( )( ) x x
– 2
+ 10

13. x2 – 4x – 21
( )( ) x x
+ 3
– 7

14. x2 – 9x – 36
( )( ) x x
+ 3
– 12

15. Sign Rule: When c is NEGATIVE… The factors will have DIFFERENT SIGNS.
The larger factor will have the SAME sign as b

16. Sometimes there is no middle term! That means b=0!

17. x2 - 16
x2 + 0x - 16
( )( ) x x
+ 4
– 4