MathDB
Iran TST

Source: Iranian TST 2019, second exam day 2, problem 4

June 24, 2019
algebrapolynomial

Problem Statement

Let 1<t<21<t<2 be a real number. Prove that for all sufficiently large positive integers like dd, there is a monic polynomial P(x)P(x) of degree dd, such that all of its coefficients are either +1+1 or −1-1 and ∣P(t)−2019∣<1.\left|P(t)-2019\right| <1. Proposed by Navid Safaei
Back to ProblemsView on AoPS