1. The problem statement, all variables and given/known data A polynomial p(x) leaves the rest 3 when divided by (x+2) and the rest 8 when divided by (x-6). What's the rest r(x) when p(x) is divided by (x+2)(x-6)? 2. Relevant equations 3. The attempt at a solution I wrote the three equations: p(x)=q1(x+2) + 3 p(x)=q2(x-6) + 8 p(x)=q3(x+2)(x-6) + r(x) And I've tried rearranging them and I've tried to find what p(x) is and I've tried some other random things and it doesn't work out. I think the main problem is that I don't know at which angle to approach this problem and that I don't know how to reason about it..