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$P (x) = x^3 − 3x + 1.$

Source: 12-th Hungary-Israel Binational Mathematical Competition 2001

April 11, 2007
algebrapolynomialtrigonometryfunctionalgebra proposed

Problem Statement

Let P(x)=x3−3x+1.P (x) = x^{3}-3x+1. Find the polynomial QQ whose roots are the fifth powers of the roots of PP.
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