Find All Complex Zeros of the Polynomial Function $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 7 x - 5$$

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 7 x - 5$$

A) $1 , - 1 + 2 \mathrm { i } , - 1 - 2 \mathrm { i }$
B) $1,1 + \sqrt { 5 } , 1 - \sqrt { 5 }$
C) $1,1 + \sqrt { 5 } i , 1 - \sqrt { 5 } i$
D) $1,1 + 2 i , 1 - 2 i$