SOLUTION: Write a polynomial function with rational coefficients in standard form with the given zeros sqrt2 4i

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Question 1010923: Write a polynomial function with rational coefficients in standard form with the given zeros sqrt2 4i
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write a polynomial function with rational coefficients in standard form with the given zeros sqrt(2) 4i
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If the coefficients are rational, -sqrt(2) and -4i are also zeroes.
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Ans:
f(x) = (x-sqrt(2))(x+sqrt(2))(x-4i)(x+4i)
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f(x) = (x^2-2)(x^2+16)
f(x) = x^4 + 14x^2 - 32
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Cheers,
Stan H.
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