Find a Polynomial Function of the Lowest Degree with Real $0,2,4 - i$

question 54

Multiple Choice

Find a polynomial function of the lowest degree with real coefficients that has the zeros below and whose leading coefficient is one.
$0,2,4 - i$

• A) \(f ( x ) = x ^ { 4 } - 34 x ^ { 3 } + 32 x ^ { 2 } - 10 x\)
• B) \(f ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 33 x ^ { 2 } - 34 x\)
• C) \(f ( x ) = x ^ { 4 } + 32 x ^ { 3 } - 10 x ^ { 2 } - 34 x\)
• D) \(f ( x ) = x ^ { 4 } - 10 x ^ { 3 } - 34 x ^ { 2 } + 32 x\)
• E) \(f ( x ) = x ^ { 4 } + 32 x ^ { 3 } - 34 x ^ { 2 } - 10 x\)

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