MathDB

2022 MMATHS Team Online p9 - sum of roots of monic cubic polynomial =1

Source:

October 1, 2023

algebrapolynomialsum of rootsMMATHS

Problem Statement

Let

f

be a monic cubic polynomial such that the sum of the coefficients of

f

5

and such that the sum of the roots of

f

1

. Find the absolute value of the sum of the cubes of the roots of

f