Factor the Polynomial Using the Negative of the Greatest Common $$- 5 x ^ { 4 } - 15 x ^ { 3 } + 10 x ^ { 2 }$$

Multiple Choice

Factor the polynomial using the negative of the greatest common factor.
- $$- 5 x ^ { 4 } - 15 x ^ { 3 } + 10 x ^ { 2 }$$

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