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

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 4 } + 25 x ^ { 2 } + 144$$

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