Write $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 25 x - 75$

Multiple Choice

Write $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 25 x - 75$ as a product of linear factors.

A) $x = ( x - 3 ) ( x + 5 ) ^ { 2 }$
B) $x = ( x - 3 ) ^ { 2 } ( x - 5 i )$
C) $x = ( x - 3 ) ( x - 5 ) ^ { 2 }$
D) $x = ( x - 3 ) ( x + 5 i ) ( x - 5 i )$
E) $x = ( x + 3 ) ( x - 3 ) ( x + 5 )$