SOLUTION: Form a​ third-degree polynomial function with real coefficients such -2 + i and 6 are zeros.

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Question 1112443: Form a​ third-degree polynomial function with real coefficients such -2 + i and 6 are zeros.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Form a​ third-degree polynomial function with real coefficients such -2 + i and 6 are zeros.
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If the coefficients are Real, -2-i is also a zero.
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f(x) = (x-(-2-i))(x-(-2+i))(x-6)
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f(x) = (x+2 + i)(x+2 -i)(x-6)
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f(x) = [(x+2)^2 +1](x-6)
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f(x) = (x^2+4x+5)(x-6)
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f(x) = x^3 +(4x^2-6x^2)+(5x-24x)-30
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f(x) = x^3-2x^2-19x-30
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Cheers,
Stan H.
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