Question 103
Find all polynomials $f$ that satisfy the equation
$$
\frac{f(9 x)}{f(3 x)} = \frac{243 x - 729}{x - 81}
$$
for infinitely many values of $x$.
$$
\frac{f(9 x)}{f(3 x)} = \frac{243 x - 729}{x - 81}
$$
for infinitely many values of $x$.
MathNet 2026 — Part 09 Question 103
Math Olympiad Vault · MathNet 2026 — Part 09