SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros -8 and 1+i. Detailed explanation of how to solve would be great since I

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros -8 and 1+i. Detailed explanation of how to solve would be great since I      Log On


   

Question 1126964: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros -8 and 1+i.
Detailed explanation of how to solve would be great since I absolutely do not understand this.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!


Q=%28x%2B8%29%28x-1-i%29%28x-1%2Bi%29
%28x%2B8%29%28%28x-1%29-i%29%28%28x-1%29%2Bi%29
%28x%2B8%29%28%28x-1%29%5E2-i%5E2%29
%28x%2B8%29%28%28x-1%29%5E2%2B1%29
You can do the rest.