Find All Complex Zeros of the Polynomial Function, and Write $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$$

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$$

A) $f ( x ) = ( x - 1 ) ( x + 5 i ) ( x - 5 i )$
B) $f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 25 )$
C) $f ( x ) = ( x - 1 ) ( x + 5 ) ( x - 5 )$
D) $f ( x ) = ( x - 25 ) ( x + i ) ( x - i )$