SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros 5,5i

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Question 1075806: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros 5,5i
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
f(x) = (x-5)*(x-5i)*(x+5i) = 

     = %28x-5%29%2A%28x%5E2%2B25%29.


You can expand the last polynomial expression if you need or if you want.