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 algebrapolynomialsearchadvanced fieldsadvanced fields unsolved