MathDB
I.S.I. B.Math.(Hons.) Admission test : 2010 Problem 7

Source: 0

February 6, 2012
algebrapolynomialtrigonometryalgebra proposed

Problem Statement

We are given a,b,cāˆˆRa,b,c \in \mathbb{R} and a polynomial f(x)=x3+ax2+bx+cf(x)=x^3+ax^2+bx+c such that all roots (real or complex) of f(x)f(x) have same absolute value. Show that a=0a=0 iff b=0b=0.
Back to ProblemsView on AoPS