MathDB

p(x)=x^3-24x + k has at most 1 integer root 2018 Ecuador NMO (OMEC) 3.4

Source:

September 18, 2021

algebrapolynomialinteger roots

Problem Statement

Let

k

be a real number. Show that the polynomial

p (x) = x^3-24x + k

has at most an integer root.