Factor.
-$15 x ^ { 3 } + 29 x ^ { 2 } + 12 x$
A) $\left( 15 x ^ { 2 } + 4 \right) ( x + 3 )$
B) $x ( 15 x + 1 ) ( x + 12 )$
C) $x ( 3 x - 4 ) ( 5 x - 3 )$
D) $x ( 3 x + 4 ) ( 5 x + 3 )$

Question

Quizplus · Accepted Answer

The correct factorization of $15x^3 + 29x^2 + 12x$ is achieved by first factoring out the greatest common factor, which is $x$, giving $x(15x^2 + 29x + 12)$. Then, by finding factors of $15x^2 + 29x + 12$ that add up to $29x$, we get $3x$ and $4x$ for the first term and $3$ and $5$ for the constant term, leading to the factorization $x(3x + 4)(5x + 3)$.

Factor - 15x3+29x2+12x15 x ^ { 3 } + 29 x ^ { 2 } + 12 x15x3+29x2+12x

Factor
- $15 x ^ { 3 } + 29 x ^ { 2 } + 12 x$