Use Synthetic Division to Find the Function Value $f ( x ) = x ^ { 3 } + 11$

Multiple Choice

Use synthetic division to find the function value.
- $f ( x ) = x ^ { 3 } + 11$ ; find $f ( 2 + i )$ .

A) $2 + 11 i$
B) $2 + 12 \mathrm { i }$
C) $13 + 12 \mathrm { i }$
D) $13 + 11 \mathrm { i }$