Homework Statement
Let x1, x2, x3 are the roots of the polynomial f(x)=x3+px+q, where f(x)\inQ[x], p\neq0. Find a polynomial g(y) of third degree with roots:
y1=x1/(x2+x3-q)
y2=x2/(x1+x3-q)
y3=x3/(x1+x2-q)
Homework Equations
The Attempt at a Solution
Any ideas? Thank you.