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**Warm up #5: Factor Completely**

y2 + 7y +12 2x2 + 7x + 3 3m2 – m – 4 6t2 + 23t + 7 5k2 + k –18

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**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!!

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

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**When…… When does it work? Always**

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

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**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

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**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)

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**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)

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**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)

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

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

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

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**Assignment Page 282 # 2-26 even**

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Section 6.2 and 6.3 Polynomials -- A function with several terms that are added or subtracted together, such as: 5x 4 + 3x 3 – 10x 2 + 17x – 9 10x 5 –

Section 6.2 and 6.3 Polynomials -- A function with several terms that are added or subtracted together, such as: 5x 4 + 3x 3 – 10x 2 + 17x – 9 10x 5 –

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