SOLUTION: Find a third degree polynomial with zeros 5 and 3i

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Question 288828: Find a third degree polynomial with zeros 5 and 3i
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find a third degree polynomial with zeros 5 and 3i
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Since 3i is a zero, -3i is a zero.
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Polynomial:
f(x) = (x-3i)(x+3i)(x-5)
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f(x) = (x-3)(x^2+9)
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f(x) = x^3 - 3x^2 +9x - 27
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Cheers,
Stan H.