SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.      3minus​i, StartRoot 8 EndRoot

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Question 1140350: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
     3minus​i, StartRoot 8 EndRoot
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
3minus​i, StartRoot 8 EndRoot

system%28roots%2C3-i%2Csqrt%288%29%29
This means the other two roots must include 3%2Bi and -sqrt%288%29.

Polynomial Function:
%28x-%283-i%29%29%28x-%283%2Bi%29%29%28x-sqrt%288%29%29%28x-%28-sqrt%288%29%29%29
Simplify this.