MathDB
Polynomial

Source: Chinese TST

April 5, 2008
algebrapolynomialalgebra proposed

Problem Statement

Let n>m>1 n>m>1 be odd integers, let f(x)\equal{}x^n\plus{}x^m\plus{}x\plus{}1. Prove that f(x) f(x) can't be expressed as the product of two polynomials having integer coefficients and positive degrees.
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