MathDB

3

Part of 2010 Finnish National High School Mathematics Competition

Problems(1)

Possible values of P(2005)

Source: Finnish Mathematics Competition 2010, Final Round, Problem 3

11/15/2011
Let P(x)P(x) be a polynomial with integer coefficients and roots 19971997 and 20102010. Suppose further that ∣P(2005)∣<10|P(2005)|<10. Determine what integer values P(2005)P(2005) can get.
algebrapolynomialalgebra unsolved