SOLUTION: Find a polynomial function of lowest degree with rationl coefficients that has the given numbers as some of its zeros. -8i, square root 8

Question 141517: Find a polynomial function of lowest degree with rationl coefficients that has the given numbers as some of its zeros.
-8i, square root 8
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Both complex and irrational roots come in conjugate pairs. That is, if you have a root of the form , there must also be a root . Likewise, if is a root, then is also a root.

Your roots are in these forms because and

A number is a zero of a polynomial function if and only if is a factor of the polynomial, so:

are the factors of your minimum (4th) degree polynomial. So get busy multiplying.
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