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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 4, 4i, and −4i.      Log On


   

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) About Me  (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.