1. The problem statement, all variables and given/known data How many pairs of solutions make x^4 + px^2 + q = 0 divisable by x^2 + px + q = 0 2. Relevant equations x1 + x2 = -p x1*x2= q 3. The attempt at a solution I tried making z = x^2 and replacing but got nowhere. I figure 0,1,-1 are 3 numbers that fit but im not sure whats being asked also. How many pairs of x1 and x2 make the polynomial 1 divisible by polynomial 2. How to start solving this?