Find All Complex Zeros of the Polynomial Function, and Write $$f ( x ) = x ^ { 4 } + 25 x ^ { 2 } + 144$$

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $$f ( x ) = x ^ { 4 } + 25 x ^ { 2 } + 144$$

A) $f ( x ) = ( x + 3 + 4 i ) ^ { 2 } ( x + 3 - 4 i ) ^ { 2 }$
B) $f ( x ) = ( x + 3 i ) ^ { 2 } ( x + 4 i ) ^ { 2 }$
C) $f ( x ) = ( x + 3 i ) ( x - 3 i ) ( x + 4 i ) ( x - 4 i )$
D) $f ( x ) = ( x + i ) ( x - i ) ( x + 12 i ) ( x - 12 i )$