Let Q(x) = x^2+bx+c where b and c are integers. If Q\left((1+\sqrt 2)^10\right)=0 determine b+c
Read this:
https://web2.0calc.com/questions/let-q-x-x-2-bx-c-where-b-and-c-are-integers-if-q
Nearly same problem. Maybe if you read the solution, it will help you understand how to do this question.