- #1

stungheld

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## Homework Statement

How many pairs of solutions make x^4 + px^2 + q = 0 divisable by x^2 + px + q = 0

## Homework Equations

x1 + x2 = -p

x1*x2= q[/B]

## 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 I am not sure what's being asked also. How many pairs of x1 and x2 make the polynomial 1 divisible by polynomial 2. How to start solving this?