Use Synthetic Division to Divide $$\left( 24 + 5 x ^ { 3 } + 22 x - 27 x ^ { 2 } \right) \div ( x - 2 )$$

Multiple Choice

Use synthetic division to divide. $$\left( 24 + 5 x ^ { 3 } + 22 x - 27 x ^ { 2 } \right) \div ( x - 2 )$$

A) $5 x ^ { 2 } - 17 x - 12$
B) $5 x ^ { 2 } + 11 x - 6$
C) $5 x ^ { 2 } - 7 x - 20$
D) $5 x ^ { 2 } - 7 x + 15$
E) $5 x ^ { 2 } - 22 x + 8$