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

question 418

Multiple Choice

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

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

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Definitions:

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