Use Synthetic Division to Divide $$\left( 6 + 5 x ^ { 3 } + 23 x + 22 x ^ { 2 } \right) \div ( x + 3 )$$

Multiple Choice

Use synthetic division to divide.
$$\left( 6 + 5 x ^ { 3 } + 23 x + 22 x ^ { 2 } \right) \div ( x + 3 )$$

A) $5 x ^ { 2 } + 8 x + 3$
B) $5 x ^ { 2 } + 17 x + 10$
C) $5 x ^ { 2 } + 5 x + 6$
D) $5 x ^ { 2 } + 7 x + 2$
E) $5 x ^ { 2 } + 7 x + 5$