MathDB

Let

r

be a root of

P(x)=x^3+ax^2+bx-1=0

and

r+1

be a root of

y^3+cy^2+dy+1=0,

where

a,b,c

and

d

are integers. Also let

P(x)

be irreducible over the rational numbers. Express another root

s

P(x)=0

as a function of

r

which does not explicitly involve

a,b,c

d.

Problem Statement