Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 8 x + 8$$

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 8 x + 8$$

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