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

question 370

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

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