MathDB

5

Part of 1988 Czech And Slovak Olympiad IIIA

Problems(1)

x^{154}-ax^{77}+1 is a multiple of x^{14}-ax^{7}+1

Source: Czech and Slovak Olympiad 1988, National Round, Problem 5

9/13/2024
Find all numbers a∈(−2,2)a \in (-2, 2) for which the polynomial x154−ax77+1x^{154}-ax^{77}+1 is a multiple of the polynomial x14−ax7+1x^{14}-ax^{7}+1.
algebrapolynomial