SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. √5,5i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. √5,5i      Log On


   

Question 1075804: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. √5,5i
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
f(x) = %28x-sqrt%285%29%29%2A%28x%2Bsqrt%285%29%29%2A%28x-5i%29%2A%28x%2B5i%29 =
= %28x%5E2-5%29%2A%28X%5E2%2B25%29.

You can further expand the last polynomial expression if you want or if you need.