State How Many Complex and Real Zeros the Function Has $$f ( x ) = x ^ { 4 } + 2 x ^ { 3 } + 2 x ^ { 2 } + 2 x + 1$$

Multiple Choice

State how many complex and real zeros the function has.
- $$f ( x ) = x ^ { 4 } + 2 x ^ { 3 } + 2 x ^ { 2 } + 2 x + 1$$

A) 4 complex zeros; none real
B) 4 complex zeros; 1 real
C) 4 complex zeros; all 4 real
D) 4 complex zeros; 2 real