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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have