MathDB

2

Part of 1998 Czech and Slovak Match

Problems(1)

integer roots of P(P(x)) when P(x) has n roots included 0

Source: Czech and Slovak Match 1998 P2

10/1/2017
A polynomial P(x)P(x) of degree n≥5n \ge 5 with integer coefficients has nn distinct integer roots, one of which is 00. Find all integer roots of the polynomial P(P(x))P(P(x)).
integer rootInteger Polynomialalgebra