Factor.
-$15 x ^ { 2 } + 32 x + 16$
A) $( 3 x - 4 ) ( 5 x - 4 )$
B) Prime
C) $( 3 x + 4 ) ( 5 x + 4 )$
D) $( 15 x + 4 ) ( x + 4 )$

Question

Quizplus · Accepted Answer

The correct factorization of $15x^2 + 32x + 16$ is $(3x + 4)(5x + 4)$. This can be determined by finding two numbers that multiply to $15*16 = 240$ and add up to $32$, which are $20$ and $12$. These can be used to split the middle term $32x$ and factor by grouping.

Factor - 15x2+32x+1615 x ^ { 2 } + 32 x + 1615x2+32x+16

Factor
- $15 x ^ { 2 } + 32 x + 16$