Question 33
Find all polynomials $f$ that satisfy the equation
$$
\frac{f(3x)}{f(x)} = \frac{729(x-3)}{x-243}
$$
for infinitely many real values of $x$.
$$
\frac{f(3x)}{f(x)} = \frac{729(x-3)}{x-243}
$$
for infinitely many real values of $x$.
MathNet 2024-part-06 — 165 problems (EN–VI) Question 33
Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)