Factor out the greatest common factor. Simplify the factors, if possible.
-$10 x ^ { 2 } + 25 x + 6 x + 15$
A) $( 10 x + 3 ) ( x + 5 )$
B) $( 10 x - 3 ) ( x - 5 )$
C) $( 5 x + 3 ) ( 2 x + 5 )$
D) $( 5 x - 3 ) ( 2 x - 5 )$

Question

Quizplus · Accepted Answer

First, group the terms: $10x^2 + 25x$ and $6x + 15$. Factoring out the greatest common factor from each group gives $5x(2x + 5) + 3(2x + 5)$. Factoring out the common factor $2x + 5$ gives $(5x + 3)(2x + 5)$.

Factor Out the Greatest Common Factor 10x2+25x+6x+1510 x ^ { 2 } + 25 x + 6 x + 1510x2+25x+6x+15

Factor Out the Greatest Common Factor $10 x ^ { 2 } + 25 x + 6 x + 15$