Question 36
Find all functions $f$ from integers to integers such that
$$
f(m+n) + f(m-n) - 2f(m) = 6mn^2
$$
for all integers $m$ and $n$.
$$
f(m+n) + f(m-n) - 2f(m) = 6mn^2
$$
for all integers $m$ and $n$.
MathNet 2024-part-05 — 168 problems (EN–VI) Question 36
Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)