11.8

Part of 1999 All-Russian Olympiad Regional Round

Problems(1)

>=2 integer points for polynomial - All-Russian MO 1999 Regional (R4) 11.8

Source:

For some polynomial there is an infinite set its values, each of which takes at least at two integer points. Prove that there is at most one the integer value that a polynomial takes at exactly one integer point.

algebrapolynomial