SOLUTION: Find the polynomial function with real coefficients that has the given zeroes: 6 and -2i. Express the function in general form.

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Question 194078This question is from textbook
: Find the polynomial function with real coefficients that has the given zeroes: 6 and -2i. Express the function in general form. This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the polynomial function with real coefficients that has the given zeroes: 6 and -2i. Express the function in general form.
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Since the coefficients are Real Numbers, and since -2i is a zero,
2i must also be a zero.
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f(x) = (x-6)(x-2i)(x+2i)
f(x) = (x-6)(x^2+4)
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Cheers,
Stan H.