olymmath

IR-TST 2019 Problem 13

  • Test 3

Find all polynomials P(x,y)P(x,y) with real coefficients such that for all real numbers x,yx,y and zz : P(x,2yz)+P(y,2zx)+P(z,2xy)=P(x+y+z,xy+yz+zx).P(x,2yz)+P(y,2zx)+P(z,2xy)=P(x+y+z,xy+yz+zx). Proposed by Sina Saleh

Dataset text AI-MO AoPS. Quoted with source.

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

Similar problems

These problems have the most words in common with this statement.

Locator ir-tst/2019/p13 · Tag ACR55QR749 · Edit this page on GitHub · Keys: j next, k previous