| Title: | Newton-like Identities from Synthetic Division |
| Speaker: | Michael A. Jones Associate Editor Mathematical Reviews American Mathematical Society Ann Arbor, MI |
| Abstract: | I will recall and then prove Vieta's formulas that relate the roots of a polynomial to its coefficients. I will explain Euler's proof of Newton's identities that relate the coefficients of a polynomial to the sums of powers of its roots. Finally, I'll explain how to view synthetic division from a linear algebra point of view and use this approach to prove an identity in the spirit of Newton. |
| Location: | Palenske 227 |
| Date: | 4/4/2019 |
| Time: | 3:30 PM |
@abstract{MCS:Colloquium:MichaelAJones:2019:4:4,
author = "{Michael A. Jones}",
title = "{Newton-like Identities from Synthetic Division}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{4 April}",
year = "{2019}"
}