<PRE><B>Question 706040</B>
Write the equation of the function whose roots are
-3i, -2, and 4
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If you want to avoid having complex number coefficients,
+3i must also be a root.
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f(x) = (x-3i)(x+3i)(x+2)(x-4)
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= (x^2+9)(x^2-4x-8)
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= x^4-4x^3-8x^2+9x^2-36x-72
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= x^4-4x^3+x^2-36x-72
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Cheers,
Stan H.
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