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Unformatted text preview: = x (2 x + 1) + 4(2 x + 1) = (2 x + 1)( x + 4) Check : (2 x + 1)( x + 4) = 2 x 2 + 8 x + 1 x + 4 = 2 x 2 + 9 x + 4 Factor out (2 x + 1). MartinGay, Beginning Algebra, 5ed 4 Factoring by Grouping Example : Factor by grouping: 8 x 2 + 10 x3 (2 x + 3)(4 x1) = 8 x 2 + 10 x3 Check: Find two numbers that we can multiply together to get 24 and add together to get 10. ____ × ____ = 24 ____ + ____ = 10 12 12 (2) (2) The value of ac is 24. Rewrite 10 x as 12 x + (2 x ). 8 x 2 + 10 x3 = 8 x 2 + 12 x2 x3 Factor by grouping. = 4 x (2 x + 3) 1(2 x + 3) = (2 x + 3)(4 x1) Factor out (2 x + 3)....
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 Spring '09
 prescott
 Algebra, Factoring, Factoring Trinomials, Multiplication, Greatest common divisor

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