Use Synthetic Division to Perform the Division $\frac { 3 x ^ { 3 } - 13 x ^ { 2 } + 7 x - 12 } { x - 4 }$

Multiple Choice

Use synthetic division to perform the division. $\frac { 3 x ^ { 3 } - 13 x ^ { 2 } + 7 x - 12 } { x - 4 }$

A) $3 x ^ { 2 } - x + 7$
B) $3 x ^ { 2 } + x - 3$
C) $3 x ^ { 2 } - x - 3$
D) $3 x ^ { 2 } + x + 3$
E) $3 x ^ { 2 } - x + 3$