Find All Complex Zeros of the Polynomial Function $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 5 x + 39$$

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 5 x + 39$$

A) $- 3,1 + 2 i , 1 - 2 i$
B) $- 3,3 + 2 i , 3 - 2 i$
C) $- 3,1 + 2 \sqrt { 13 } i , 1 - 2 \sqrt { 13 } i$
D) $- 3,3 + 4 i , 3 - 4 i$