SOLUTION: Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 4, and zeros 3-i, and 3i. thanks in advance.

Question 730698: Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 4, and zeros 3-i, and 3i. thanks in advance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 4, and zeros 3-i, and 3i.
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If the coefficients are Real 3+i and -3i must also be zeros.
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f(x) = (x-4)(x+3i)(x-3i)(x-(3+i))(x-(3-i)
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f(x) = (x-4)(x^2+9)((x-3)^2+1)
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etc.
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Cheers,
Stan H.
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