SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 4, 4i, and −4i.

SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 4, 4i, and −4i.

Algebra.Com

Question 1175849: Find a polynomial with integer coefficients that satisfies the given conditions.
Q has degree 3 and zeros 4,
4i, and −4i.
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
A polynomial with root r has a factor of the form (x-r).
So, our polynomial is:
(x - 4)(x - 4i)(x + 4i)
(x - 4)(x^2 + 16)
(x^3 - 4x^2 + 16x - 64)
And that is our answer.
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