SOLUTION: write the polynomial function in standard form with the given roots. x = -1, -4, 2i and -2i

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Question 1053638: write the polynomial function in standard form with the given roots. x = -1, -4, 2i and -2i
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write the polynomial function in standard form with the given roots. x = -1, -4, 2i and -2i
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f(x) = (x+1)(x+4)(x-2i)(x+2i)
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f(x) = (x^2 + 5x + 4)(x^2+4)
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f(x) = x^4 +5x^3 + 4x^2 + 4x^2 + 20x + 16
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f(x) = x^4 + 5x^3 + 8x^2 + 20x + 16
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Cheers,
Stan H.
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