Completely Factor the Polynomial or State That the Polynomial Is $$6 x ^ { 3 } + 17 x ^ { 2 } + 12 x$$

Multiple Choice

Completely factor the polynomial or state that the polynomial is prime.
- $$6 x ^ { 3 } + 17 x ^ { 2 } + 12 x$$

A) $x ( 2 x + 4 ) ( 3 x + 3 )$
B) $x ^ { 2 } ( 3 x + 4 ) ( 2 x + 3 )$
C) $x ( 3 x + 4 ) ( 2 x + 3 )$
D) $\left( 3 x ^ { 2 } + 4 \right) ( 2 x + 3 )$