Use Synthetic Division to Divide $\left( 8 + 5 x ^ { 3 } + 46 x + 31 x ^ { 2 } \right) \div ( x + 2 )$

Multiple Choice

Use synthetic division to divide. $\left( 8 + 5 x ^ { 3 } + 46 x + 31 x ^ { 2 } \right) \div ( x + 2 )$

A) $5 x ^ { 2 } + 22 x + 8$
B) $5 x ^ { 2 } + 11 x + 5$
C) $5 x ^ { 2 } + 9 x + 2$
D) $5 x ^ { 2 } + 21 x + 4$
E) $5 x ^ { 2 } + 9 x + 20$