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Algebra 1 Warm up

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8-8 FACTOR BY GROUPING Objective: To factor a polynomial by grouping.

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Grouping a(x + y) + b(x + y) What do they have in common? (x + y) (x + y)( ) (x+y)(a+b) a + b

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Example 2: Factoring by Grouping 3am – 6bm + 5an – 10bn Group in pairs (3am – 6bm) + (5an – 10bn) Factor out GCF from each pair 3m(a – 2b) + 5n(a – 2b) (a – 2b)( ) 3m + 5n

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Try with mathlete (hint: group!) 1) a 2 + 3ab + 2ac + 6bc (a + 3b)(a + 2c) 2) 15x – 3xy + 20 – 4y (5 – y)(3x + 4) How can we check our answers? Double Distribute!

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Example 3 2my + 7x + 7m + 2xy Reorder before grouping! 2my + 2xy + 7m + 7x (2my + 2xy) + (7m + 7x) 2y(m + x) + 7(m + x) (m + x)(2y + 7)

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Example 4 6xy – 15x – 8y + 20 (6xy – 15x) + (-8y + 20) Notice that I changed it to “+ (-8y)”, keep negatives with their numbers! 3x(2y – 5) + 4(-2y + 5) Factor a negative from 2 nd parenthesis 3x(2y – 5) – 4(2y – 5) (2y – 5)(3x – 4)

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TOO 1) rx + 2ky + 2ry + kx Hint: Reorder 2) 10mx + 5rx – 8m – 4r Hint: Pay attention to your negatives

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Homework Pg. 531 # 9 – 27 odd

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