MathDB

Find a method-IMO Long List P7

Source:

August 28, 2010

algebrapolynomialrootsalgorithmIMO Shortlist

Problem Statement

Find a method by which one can compute the coefficients of

P(x) = x^6 + a_1x^5 + \cdots+ a_6

from the roots of

P(x) = 0

by performing not more than

15

additions and

15

multiplications.