SOLUTION: Determine the simplest polynomial that has real coefficients and zeroes at x=-2i and x=4 (multiply it out)

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Question 685086: Determine the simplest polynomial that has real coefficients and zeroes at x=-2i and x=4 (multiply it out)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the simplest polynomial that has real coefficients and zeroes at x=-2i and x=4
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If the coefficients are Real, x = 2i is also a zero.
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Your Equation:
f(x) = (x-2i)(x+2i)(x-4)
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= (x^2+4)(x-4)
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= x^3 -4x^2 + 4x - 16
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Cheers,
Stan H.