Use Synthetic Division to Find the Quotient and Remainder $$\left( 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x \right) \div ( x + 3 )$$

Multiple Choice

Use synthetic division to find the quotient and remainder.
- $$\left( 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x \right) \div ( x + 3 )$$

A) $2 x ^ { 3 } + 5 x ^ { 2 } + 3 + \frac { 9 } { x + 3 }$
B) $2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 - \frac { 45 } { x + 3 }$
C) $2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 + \frac { 45 } { x + 3 }$
D) $2 x ^ { 3 } - 5 x ^ { 2 } + 3 - \frac { 9 } { x + 3 }$