olymmath

BALTIC-WAY 2010 Problem 4

  • Answer

Find all polynomials P(x)P(x) with real coefficients such that

(x−2010)P(x+67)=xP(x)(x-2010) P(x+67)=x P(x)

for every integer xx.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

P(x)=c(x-67)(x-2 \cdot 67) \ldots(x-30 \cdot 67)

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator baltic-way/2010/p4 · Tag 3PS63QSXSB · Edit this page on GitHub · Keys: j next, k previous