Question 100
Find all polynomials $P(x)$ and $Q(x)$ with rational coefficients such that
$$
P(x)^3 + Q(x)^3 = x^{12} + 1.
$$
$$
P(x)^3 + Q(x)^3 = x^{12} + 1.
$$
MathNet 2015-part-03 — 191 problems (EN–VI) Question 100
Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)