The Polynomial Ring over a UFD is a UFD
In this video, we prove that a polynomial ring over a unique factorization domain is itself a unique factorization domain.
This is lecture 21 (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/1TRHX...
This lecture is based upon Sections 17.3 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.