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Find all integers n that polynomial can be represented

Source: Mediterranean MO 2001

October 31, 2010
algebrapolynomialquadraticsalgebra unsolved

Problem Statement

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.
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