Discrete Math II/Combinatorics (Entire course) - Discrete Math II - 8.4.4 Readiness for Generating Functions: Binomial and Extended Binomial Theorem

In our final "readiness" video, we take a closer look at the binomial theorem we are already familiar with. We will look at 2 "typical" practice question, then discover how we can manipulate the binomial theorem into the extended binomial theorem which allows us to solve for values of n that are not positive whole numbers. Video Chapters: Intro 0:00 Binomial Theorem (1+x) 0:10 Binomial Theorem (x+y) 1:44 Extended Binomial Theorem 3:44 Extended Binomial when n is a Fraction 5:51 Extended Binomial for Negatives 7:40 Extended Binomial for Negatives Practice 10:19 Coefficient for x^n 10:58 Up Next 13:43 This playlist uses Discrete Mathematics and Its Applications, Rosen 8e Power Point slide decks to accompany the videos can be found here: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/Ei9DcmrOBTlAuMxWUoq9ZqsB14M60jcpob-xdAYS6ruVWw?e=uP9KN0 The entire playlist can be found here: https://www.youtube.com/playlist?list=PLl-gb0E4MII0sGLCJeqDB3y63HZ6lM5LJ