MathDB

Chisinau MO p126 1976 IX P (n + km) is divisible by m for any integer k

Source:

March 16, 2021

algebrapolynomialdivisible

Problem Statement

Let

P (x)

be a polynomial with integer coefficients and

P (n) =m

for some integers

n, m

(

m \ne 10

). Prove that

P (n + km)

is divisible by

m

for any integer

k