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

Question

Quizplus · Accepted Answer

First, group the terms: $(15x^2 - 12x) + (10x - 8)$. Factor out the common factors in each group: $3x(5x - 4) + 2(5x - 4)$. Notice that $(5x - 4)$ is a common factor, so the expression can be factored as $(3x + 2)(5x - 4)$.

Factor by Grouping 15x2−12x+10x−815 x ^ { 2 } - 12 x + 10 x - 815x2−12x+10x−8

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