SOLUTION: if 0, 2, -2, 3, and 4-i are zeros of a polynomial with real coefficents, what is the smallest possible degree of the polynomial?

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Question 235470: if 0, 2, -2, 3, and 4-i are zeros of a polynomial with real coefficents, what is the smallest possible degree of the polynomial?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if 0, 2, -2, 3, and 4-i are zeros of a polynomial with real coefficents, what is the smallest possible degree of the polynomial?
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Since the coefficients are Real Numbers, 4+i must also be
a zero of the polynomial.
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Therefore the lowest degree it could have is 6.
Cheers,
Stan H.