olymmath

HMMT 2021 A3

  • Algebra and Number Theory
  • Answer

Among all polynomials P(x)P(x) with integer coefficients for which P(−10)=145P(-10)=145 and P(9)=164P(9)=164, compute the smallest possible value of ∣P(0)∣|P(0)|.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

25

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 hmmt/2021/a3 · Tag BGBXY2C6DG · Edit this page on GitHub · Keys: j next, k previous