olymmath

PAMO 2000 Problem 2

  • Day 1

Define the polynomials P0,P1,P2⋯P_0, P_1, P_2 \cdots by: P0(x)=x3+213x2−67x−2000P_0(x)=x^3+213x^2-67x-2000 Pn(x)=Pn−1(x−n),n∈NP_n(x)=P_{n-1}(x-n), n \in N Find the coefficient of xx in P21(x)P_{21}(x) .

Dataset text AI-MO AoPS. Quoted with source.

Official text: Pan-African Mathematics Olympiad 2000 official paper, page 1.

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 pamo/2000/p2 · Tag 90DXA2BP85 · Edit this page on GitHub · Keys: j next, k previous