Factor by grouping.
-$10 x ^ { 2 } - 12 x + 15 x - 18$
A) $( 10 x - 3 ) ( x + 6 )$
B) $( 2 x + 3 ) ( 5 x - 6 )$
C) $( 2 x - 3 ) ( 5 x + 6 )$
D) $( 10 x + 3 ) ( x - 6 )$

Name: Factor by grouping. -$10 x ^ { 2 } - 12 x + 15 x - 18$ A) $( 10 x - 3 ) ( x + 6 )$ B) $( 2 x + 3 ) ( 5 x - 6 )$ C) $( 2 x - 3 ) ( 5 x + 6 )$ D) $( 10 x + 3 ) ( x - 6 )$
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Question

Quizplus · Accepted Answer

First, factor by grouping: $10x^2 - 12x + 15x - 18 = 2x(5x - 6) + 3(5x - 6)$. Then, factor out the common factor $(5x - 6)$, resulting in $(2x + 3)(5x - 6)$.

Factor by Grouping 10x2−12x+15x−1810 x ^ { 2 } - 12 x + 15 x - 1810x2−12x+15x−18

Factor by Grouping $10 x ^ { 2 } - 12 x + 15 x - 18$