MathDB

2

Part of 2012 Philippine MO

Problems(1)

14th Philippine Mathematical Olympiad 2011-National Stage #2

Source:

10/13/2014
Let ff be a polynomial function with integer coefficients and pp be a prime number. Suppose there are at least four distinct integers satisfying f(x)=pf(x) = p. Show that ff does not have integer zeros.
algebrapolynomialfunctionalgebra unsolved