Use the Remainder Theorem and Synthetic Division to Find F(k) $\mathrm { k } = 2 + \mathrm { i } ; \mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 3 } + 12$

Multiple Choice

Use the remainder theorem and synthetic division to find f(k) .
- $\mathrm { k } = 2 + \mathrm { i } ; \mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 3 } + 12$

A) $2 + 12 \mathrm { i }$
B) $2 + 11 \mathrm { i }$
C) $14 + 12 \mathrm { i }$
D) $14 + 11 \mathrm { i }$