Use Synthetic Division to Perform the Division $\frac { x ^ { 4 } + 625 } { x - 5 }$

Multiple Choice

Use synthetic division to perform the division.
$\frac { x ^ { 4 } + 625 } { x - 5 }$

A) $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 1250 } { x - 5 }$
B) $x ^ { 3 } - 5 x ^ { 2 } + 25 x - 125 + \frac { 1250 } { x - 5 }$
C) $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125$
D) $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 625 } { x - 5 }$