Factor by grouping.
-$12 x ^ { 2 } - 15 x + 8 x - 10$
A) $( 3 x + 2 ) ( 4 x - 5 )$
B) $( 3 x - 2 ) ( 4 x + 5 )$
C) $( 12 x - 2 ) ( x + 5 )$
D) $( 12 x + 2 ) ( x - 5 )$

Name: Factor by grouping. -$12 x ^ { 2 } - 15 x + 8 x - 10$ A) $( 3 x + 2 ) ( 4 x - 5 )$ B) $( 3 x - 2 ) ( 4 x + 5 )$ C) $( 12 x - 2 ) ( x + 5 )$ D) $( 12 x + 2 ) ( x - 5 )$
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Question

Quizplus · Accepted Answer

First, factor by grouping: $12x^2 - 15x + 8x - 10 = 3x(4x - 5) + 2(4x - 5)$. Then, factor out the common term $(4x - 5)$, resulting in $(3x + 2)(4x - 5)$.

Factor by Grouping 12x2−15x+8x−1012 x ^ { 2 } - 15 x + 8 x - 1012x2−15x+8x−10

Factor by Grouping $12 x ^ { 2 } - 15 x + 8 x - 10$