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) .
- $$f ( x ) = x ^ { 3 } - ( 4 + 2 i ) x ^ { 2 } + ( - 5 + 8 i ) x + 10 i ; k = 2 i$$

A) $f ( x ) = ( x - i ) ( x + 1 ) ( x - 10 )$
B) $f ( x ) = ( x + 2 i ) ( x - 1 ) ( x - 5 )$
C) $f ( x ) = ( x - 2 i ) ( x + 1 ) ( x - 5 )$
D) $f ( x ) = ( x - 2 i ) ( x - 1 ) ( x + 5 )$