f(n + 1)f(n + 2)... f(n + k) / f(1)f(2) ... f(k) \in Z
Source: 2019 Saudi Arabia IMO TST II p2
July 28, 2020
algebrapolynomialdivisible
Problem Statement
Let non-constant polynomial with real coefficients is given with the following property:
for any positive integer and , the value of expression Prove that is divisible by