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# 6.6 Factor by Grouping. When…… When should I use it? 4 or more terms.

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6.6 Factor by Grouping

When…… When should I use it? 4 or more terms.

Steps 1.Put ( ) around first 2 terms and last 2 terms 2.Factor out a common factor so what is left in the binomials is the same 3.Factor out the common binomial Helpful Hint: Change all subtraction signs to plus negative

Ex 1: Factoring by Grouping 6x 3 – 9x 2 + 4x - 6 3x 2 (2x – 3) + 2(2x – 3) (2x – 3)( 3x 2 + 2)

Ex 2: Factoring by Grouping x 3 + x 2 + x + 1 x 2 ( x + 1) + 1( x + 1) (x + 1)( x 2 + 1)

Ex 3: Factoring by Grouping x 3 + 2x 2 - x - 2 x 2 ( x + 2) - 1( x + 2) (x + 2)( x 2 - 1) (x + 2) ( x - 1)(x + 1)

Ex 4: Factor 8x 3 + 2x 2 + 12x +3 (4x + 1)(2x 2 + 3)

Ex 5: Factor 4x 3 - 6x 2 - 6x + 9 (2x - 3)(2x 2 - 3)

Ex 6: Factor 4x 3 - 6x 2 - 6x + 9 (2x - 3)(2x 2 - 3)

Assignment Page 282 # 2-26 even

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