# Warm up #5: Factor Completely

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

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!!

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

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

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

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)

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)

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)

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

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

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

Assignment Page 282 # 2-26 even