Find All Complex Zeros of the Polynomial Function $$f ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 23 x ^ { 2 } - 10 x + 22$$

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $$f ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 23 x ^ { 2 } - 10 x + 22$$

A) $i , - i , - 5 + \sqrt { 3 } , - 5 - \sqrt { 3 }$
B) $i , - i , 1 + \sqrt { 3 } , 1 - \sqrt { 3 }$
C) $i , - i , 5 + 2 \sqrt { 3 } , 5 - 2 \sqrt { 3 }$
D) $i , - i , 5 + \sqrt { 3 } , 5 - \sqrt { 3 }$