Find a Polynomial Function of Lowest Degree with Rational Coefficients $2 , - 6,2 + 4 i$

question 69

Multiple Choice

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
- $2 , - 6,2 + 4 i$

• A) \(f ( x ) = x ^ { 4 } - 32 x ^ { 2 } + 128 x - 240\)
• B) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 8 x ^ { 2 } - 64 x + 240\)
• C) \(f ( x ) = x ^ { 4 } - 8 x ^ { 2 } + 128 x - 240\)
• D) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } - 8 x ^ { 2 } + 64 x - 240\)

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