SOLUTION: Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.

SOLUTION: Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.

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Question 295634: Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
since imaginary roots always come in pairs it must be at least a 3rd degree polynomial.
(x-4)(x-2i)(x+2i)=0
x^3-4x^2+4x-16 = 0

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