Find All Complex Zeros of the Polynomial Function, and Write $$f ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 33 x + 34$$

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $$f ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 33 x + 34$$

A) $f ( x ) = ( x + 1 ) ( x + 4 + i \sqrt { 3 } ) ( x - 2 - i \sqrt { 3 } )$
B) $f ( x ) = ( x + 2 ) ( x + 4 + i ) ( x + 4 - i )$
C) $f ( x ) = ( x - 1 ) ( x + 4 + i \sqrt { 3 } ) ( x + 4 - i \sqrt { 3 } )$
D) $f ( x ) = ( x + 2 ) ( x + 4 + i ) ( x - 4 - i )$