Find a Polynomial of Least Degree with Only Real Coefficients $2 + i , 4$

question 427

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $2 + i , 4$

• A) \(f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 20 x + 20\)
• B) \(f ( x ) = x ^ { 3 } + 8 x ^ { 2 } + 21 x + 20\)
• C) \(f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 21 x - 20\)
• D) \(f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - ( 3 - 4 i ) x + 12 + 16 i\)

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