If Possible, Factor the Polynomial Completely $$- 12 x ^ { 3 } - 50 x ^ { 2 } - 50 x$$

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$- 12 x ^ { 3 } - 50 x ^ { 2 } - 50 x$$

A) $- 2 x ( 2 x + 5 ) ( 3 x + 5 )$
B) $- 2 \left( 2 x ^ { 2 } + 5 \right) ( 3 x + 5 )$
C) $x ( - 4 x - 10 ) ( 3 x + 5 )$
D) $x ( 2 x + 5 ) ( - 6 x - 10 )$