Title

Determinants and Polynomial Root Structure

Document Type

Article

Department

Mathematics (HMC)

Publication Date

7-2005

Abstract

A little known property of determinants is developed in a manner accessible to beginning undergraduates in linear algebra. Using the language of matrix theory, a classical result by Sylvester that describes when two polynomials have a common root is recaptured. Among results concerning the structure of polynomial roots, polynomials with pairs of roots that are either multiplicative inverses or additive inverses are completely characterized.

Rights Information

© 2005 Taylor & Francis Group