State How Many Complex and Real Zeros the Function Has $$f ( x ) = x ^ { 5 } - 8 x ^ { 4 } + 2 x ^ { 3 } - 16 x ^ { 2 } + x - 8$$

Multiple Choice

State how many complex and real zeros the function has.
- $$f ( x ) = x ^ { 5 } - 8 x ^ { 4 } + 2 x ^ { 3 } - 16 x ^ { 2 } + x - 8$$

A) 5 complex zeros; 3 real
B) 5 complex zeros; all 5 real
C) 5 complex zeros; 1 real
D) 5 complex zeros; none real