Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 4 } + 5 x ^ { 3 } + 15 x ^ { 2 } + 45 x + 54$$

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 4 } + 5 x ^ { 3 } + 15 x ^ { 2 } + 45 x + 54$$

A) $f ( x ) = ( x + 3 ) ( x + 2 ) ( x - 3 i ) ( x + 3 i )$
B) $f ( x ) = ( x - 3 ) ( x + 2 ) ( x - 3 ) ( x + 3 )$
C) $f ( x ) = ( x - 1 ) ( x - 6 ) ( x - 3 i ) ( x + 3 i )$
D) $f ( x ) = ( x - i \sqrt { 6 } ) ( x + i \sqrt { 6 } ) ( x - 3 ) ( x + 3 )$