Algebra · Polynomials · Integer coefficients · Divisibility
Problem 2, 2023
A polynomial \(P\) with integer coefficients satisfies
\[ P\bigl(P(2023) + 2023\bigr) = 1. \]
Which values can the number \(P(2023)\) take?
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Serbian Municipal Competition 2023, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source