1. The problem statement, all variables and given/known data Hello PF. I need to find a splitting field of x^4-7x in C over Q 2. Relevant equations 3. The attempt at a solution letting r be a root, I did the division and got x^4-7x = (x-r)(x^3+r*x^2+x*r^2+r^3). I'm a little confused on what to do now, do I just take another root and do the division again?