SOLUTION: Form a fifth-degree polynomial function with real coefficients such that i, 1-2i, and -4 are zeros and f(0)=40

SOLUTION: Form a fifth-degree polynomial function with real coefficients such that i, 1-2i, and -4 are zeros and f(0)=40

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Question 1041825: Form a fifth-degree polynomial function with real coefficients such that i, 1-2i, and -4 are zeros and f(0)=40
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Real coefficients means complex roots come in complex conjugate pairs.

So when,
,

So,

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