Factor F(x) into Linear Factors Given That K Is a Zero

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = 4 x ^ { 3 } + ( 7 - 4 i ) x ^ { 2 } + ( - 14 - 11 i ) x + 3 + 3 i ; k = 1 + i$$

A) $( x - ( 1 + i ) ) ( x + 3 ) ( 4 x - 1 )$
B) $( x + ( 1 + i ) ) ( x - 3 ) ( 4 x + 1 )$
C) $( x - ( 1 + i ) ) ( x - 3 ) ( 4 x + 1 )$
D) $( x - ( 1 + i ) ) ( x + 2 ) ( 4 x - 1 )$