Question 38
Determine all polynomials $P(x)$ with real coefficients for which the polynomial
$$
Q(x) = (x+1) P(x-1) - (x-1) P(x)
$$
is constant.
$$
Q(x) = (x+1) P(x-1) - (x-1) P(x)
$$
is constant.
MathNet 2015-part-04 — 191 problems (EN–VI) Question 38
Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)