Z[x] represents the set of all polynomials with integer coefficients. Find all functions f:Z[x]→Z[x] such that for any 2 polynomials P,Q with integer coefficients and integer r, the following statement is true. P(r)∣Q(r)⟺f(P)(r)∣f(Q)(r).(We define a∣b if and only if b=za for some integer z. In particular, 0∣0.)Proposed by the4seasons. functional equationpolynomialpolynomial with integer coeffialgebranumber theory