MathDB

Let

f

and

g

be polynomials with rational coefficients, and let

F

and

G

denote the sets of values of

f

and

g

at rational numbers. Prove that F \equal{} G holds if and only if f(x) \equal{} g(ax \plus{} b) for some suitable rational numbers a\not \equal{} 0 and

b

. E. Fried

Problem Statement