Polynomial Division over a Field
Channel: Andrew Misseldine
Date: 2022-02-22

In this video, we develop the division algorithm for polynomials whose coefficients come from an arbitrary field, including both long division and synthetic division. We then state and prove the Remainder Theorem, which states that evaluation of the polynomial coincides with the remainder of division.

This is lecture 20 (part 1/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4230 - Abstract Algebra II at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1TRHXzUz6o7rpdhyGB_EyJ4nHXbIZkQty/view

This lecture is based upon Sections 17.2 and 18.2 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.