SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. -4i, 2

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Question 978660: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
-4i, 2
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This will have degree 3.
Complex roots occur in pairs, 4i and minus 4i
x^2+16=0 would be one pair of roots
x-2=0 would be the other.
x^3-2x^2+16x-32
=x^3+14x^2-32

graph%28300%2C300%2C-10%2C10%2C-1000%2C1000%2Cx%5E3-2x%5E2%2B16x-32%29