SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 4-i, square root 6

Question 869101: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
4-i, square root 6
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Complex roots always come in complex conjugate pairs.
Since is a root, then so is }.
In order to have rational coefficients, you ned to have a difference of squares to eliminate the .

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