SOLUTION: Find a third degree polynomial equation in standard form with rational coefficients that has roots 6 and -2i

Question 707537: Find a third degree polynomial equation in standard form with rational coefficients that has roots 6 and -2i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a third degree polynomial equation in standard form with rational coefficients that has roots 6 and -2i
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Note: 2i is also a root
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f(x) = (x-2i)(x+2i)(x-6)
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= (x^2+4)(x-6)
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= x^3 - 6x^2 + 4x - 24
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Cheers,
Stan H.
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