Find a Polynomial Function of the Lowest Degree with Real $0 , - 3,1 + 3 i$

question 116

Multiple Choice

Find a polynomial function of the lowest degree with real coefficients that has the zeros below and whose leading coefficient is one. $0 , - 3,1 + 3 i$

• A) \(f ( x ) = x ^ { 4 } + 30 x ^ { 3 } - 5 x ^ { 2 } + x\)
• B) \(f ( x ) = x ^ { 4 } + x ^ { 3 } + 4 x ^ { 2 } + 30 x\)
• C) \(f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + x ^ { 2 } + 30 x\)
• D) \(f ( x ) = x ^ { 4 } + x ^ { 3 } + 30 x ^ { 2 } - 5 x\)
• E) \(f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + 30 x ^ { 2 } + x\)

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