# Need help in hard exercise

### Need help in hard exercise

Settle, if there exist in pairs different rational numers, that polynomials
P(x) = $$x^{3}$$ + ax^{2} + bx +c and Q(x)= x^{3} +bx^{2} + cx + a
they have a common irrational element.
Guest

### Re: Need help in hard exercise

Guest wrote:Settle, if there exist in pairs different rational numers, that polynomials
P(x) = $$x^{3}$$ + a$$x^{2}$$ + bx +c and Q(x)= $$x^{3}$$ +b$$x^{2}$$ + cx + a
they have a common irrational element.
Guest