MathDB
Polynomial

Source: Vietnam TST 2014 Problem 5

November 15, 2014
algebrapolynomialalgebra unsolved

Problem Statement

Find all polynomials P(x),Q(x)P(x),Q(x) which have integer coefficients and satify the following condtion: For the sequence (xn)(x_n ) defined by x_0=2014,x_{2n+1}=P(x_{2n}),x_{2n}=Q(x_{2n-1})   n\geq 1 for every positive integer mm is a divisor of some non-zero element of (xn)(x_n )
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