SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Degree 2 and zeros 1+i square root of 5 and 1-i square root of 5.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Degree 2 and zeros 1+i square root of 5 and 1-i square root of 5.      Log On


   



Question 1126965: Find a polynomial with integer coefficients that satisfies the given conditions. Degree 2 and zeros 1+i square root of 5 and 1-i square root of 5.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-%281%2Bi%2Asqrt%285%29%29%28x-%281-i%2Asqrt%285%29%29
(x-(1+i*sqrt(5))(x-(1-i*sqrt(5))

%28x-1%29%5E2%2B5
x%5E2-2x%2B1%2B5
x%5E2-2x%2B6