Write $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } + 16 x + 48$

Multiple Choice

Write $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } + 16 x + 48$ as a product of linear factors.

A) $x = ( x - 3 ) ^ { 2 } ( x - 4 i )$
B) $x = ( x - 3 ) ( x - 4 ) ^ { 2 }$
C) $x = ( x + 3 ) ( x - 3 ) ( x + 4 )$
D) $x = ( x + 3 ) ( x + 4 i ) ( x - 4 i )$
E) $x = ( x - 3 ) ( x + 4 ) ^ { 2 }$