Write $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 4 x - 16$

Multiple Choice

Write $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 4 x - 16$ as a product of linear factors.

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