MathDB

2

Part of 2001 Mediterranean Mathematics Olympiad

Problems(1)

Find all integers n that polynomial can be represented

Source: Mediterranean MO 2001

10/31/2010
Find all integers nn for which the polynomial p(x)=x5−nx−n−2p(x) = x^5 -nx -n -2 can be represented as a product of two non-constant polynomials with integer coefficients.
algebrapolynomialquadraticsalgebra unsolved