1. Warm up #5: Factor Completely
y2 + 7y +12
2x2 + 7x + 3
3m2 – m – 4
6t2 + 23t + 7
5k2 + k –18

2. Wu #3: Factor Completely
(y + 3)(y + 4)
y2 + 7y +12
2x2 + 7x + 3
3m2 – m – 4
6t2 + 23t + 7
5k2 + k –18
(x + 3)(2x + 1)
(m + 1)(3m - 4)
(2y + 7)(3t + 1)
(k + 2)(5k - 9)
Good Job!!

3. 6.6 Factor by Grouping
Goal: To be able to factor polynomials with 4 terms by grouping

4. When…… When does it work? Always
When should I use it? For any polynomial but especially when you have 4 or more terms.

5. Steps Put ( ) around first 2 terms and last 2 terms
Factor out a common factor so what is left in the binomials is the same
Make the numbers you factored out into a binomial and multiply it by 1 of the same binomials

6. Use when there are 4 Terms 6x3 – 9x2 + 4x - 6
Factoring by Grouping
Use when there are 4 Terms
6x3 – 9x2 + 4x - 6 +
3x2(2x – 3)
2(2x – 3)
(2x – 3)
( 3x2 + 2)

7. Use when there are 4 Terms x3 + x2 + x + 1
Factoring by Grouping
Use when there are 4 Terms
x3 + x2 + x + 1 +
x2( x + 1)
1( x + 1)
(x + 1)
( x2 + 1)

8. Use when there are 4 Terms x3 + 2x2 - x - 2
Factoring by Grouping
Use when there are 4 Terms
x3 + 2x2 - x - 2 -
x2( x + 2)
1( x + 2)
(x + 2)
( x2 - 1)
(x + 2)
( x - 1)(x + 1)

9. Factor completely if possible… 8x3 + 2x2 + 12x +3

10. Factor completely if possible… 4x3 - 6x2 - 6x + 9

11. Factor completely if possible… 4x3 - 6x2 - 6x + 9

12. Assignment Page 282 # 2-26 even