Question 1042229: find a real polynomial of least degree having real coefficients with zeros -2, 3, and 3-i
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find a real polynomial of least degree having real coefficients with zeros -2, 3, and 3-i
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3+i must also be a zero::
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f(x) = (x+2)(x-3)((x-3)+i)((x-3)-i)
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f(x) = (x^2-x-6)((x-3)^2 + 1)
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f(x) = (x^2-x-6)(x^2-6x+10)
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Cheers,
Stan H.
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