Question 472744: What is a fourth degree polynomial with integer coefficients that has the given zeros: 0,3,-2i.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is a fourth degree polynomial with integer coefficients that has the given zeros: 0,3,-2i.
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Since the coefficients are integer, 2i is also a root.
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f(x) = ax(x-3)(x-2i)(x+2i)
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f(x) = ax(x-3)(x^2+4)
f(x) = x[x^3-3x^2+4x-12)
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f(x) = x^4-3x^3+4x^2-12x
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Cheers,
Stan H.
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