Write a Linear Factorization of the Function $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 9 x + 36$$

Multiple Choice

Write a linear factorization of the function.
- $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 9 x + 36$$

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