Find a Polynomial of Least Degree with Only Real Coefficients $$2 + i , 2$$

question 299

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $$2 + i , 2$$

• A) \(f ( x ) = x ^ { 3 } + 6 x ^ { 2 } + 13 x + 10\)
• B) \(f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 13 x - 10\)
• C) \(f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - ( 3 - 4 i ) x + 6 + 8 i\)
• D) \(f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 12 x + 10\)

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