SOLUTION: write a polynomial function for the set of zeros : x= 3+i, -1-√5

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Question 548961: write a polynomial function for the set of zeros : x= 3+i, -1-√5
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write a polynomial function for the set of zeros : x= 3+i, -1-√5
If you want the coefficients to be Rational Numbers,
x = 3-i and x = -1+sqrt(5) are also zeros:
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f(x) = (x-3-i)(x-3+i)(x+1+sqrt(5))(x+1-sqrt(5))
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f(x) = [(x-3)^2+1]
etc.
Cheers,
Stan H.