A Polynomial Function $f$ Has Degree 3 , the Zeros Below, and a Solution

Multiple Choice

A polynomial function $f$ has degree 3 , the zeros below, and a solution point of $f ( - 3 ) = - 4$ . Write $f$ in completely factored form. $- 4 , - 3 + 2 i$

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