Use Synthetic Division to Divide $$\left( - 8 + 5 x ^ { 3 } - 14 x + 17 x ^ { 2 } \right) \div ( x + 4 )$$

Multiple Choice

Use synthetic division to divide. $$\left( - 8 + 5 x ^ { 3 } - 14 x + 17 x ^ { 2 } \right) \div ( x + 4 )$$

A) $5 x ^ { 2 } - 3 x - 2$
B) $5 x ^ { 2 } + 22 x + 10$
C) $5 x ^ { 2 } - 2 x + 8$
D) $5 x ^ { 2 } + 3 x - 5$
E) $5 x ^ { 2 } - x - 4$