Big Ideas Math [IM3]: 3.6 - The Fundamental Theorem of Algebra (Lecture & Problem Set) скачать в хорошем качестве

Big Ideas Math [IM3]: 3.6 - The Fundamental Theorem of Algebra (Lecture & Problem Set)

Most of what we do in this section is indifferent from what we did in the last section, provided that you heard how I spoke about the material. We will still solve polynomial equations by factoring, use things like the Rational Root Theorem, etc. However, I used the time in 3.5 to discuss certain things that teased this section. The Fundamental Theorem of Algebra basically states that a polynomial of degree n has exactly n solutions. You have to also consider complex solutions (those that use 'i' in them) and multiplicities. So a fifth degree polynomial will have five solutions, etc. When we solve our equations, we want to keep this in mind. This also means we do solve equations with complex solutions, which occur when you take the square root of a negative number. We also learn something called Descartes' Rule of Signs, which indicates how many positive and negative solutions your polynomial can possibly have based on the number of sign changes between consecutive terms in f(x) and f(-x), respectively. This is new information and we build tables to construct those possibilities. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - PDF DOWNLOADS Textbook (3.6): https://smallpdf.com/file#s=aafbf357-... - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - TIMESTAMPS (separated by section) (0:00:00) Introduction (0:00:37) Lecture overview (0:18:00) Problem #1-2 (0:20:06) Problem #3-8 (0:35:41) Problem #9-16 (0:58:58) Problem #17-20 (1:03:17) Problem #21-28 (1:22:20) Problem #29-30 (1:28:03) Problem #31 (1:33:20) Problem #32 (1:34:51) Problem #33-40 (1:50:09) Problem #41 (1:52:09) Problem #42 (1:52:54) Problem #43-45 (2:08:26) Problem #46 (2:12:19) Problem #47 (2:17:05) Problem #48 (2:20:53) Problem #49 (2:21:47) Problem #50 (2:24:15) Problem #51 (2:33:00) Problem #52 (2:48:20) Problem #53 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - BIG IDEAS MATH (IM3) PLAYLIST    • Big Ideas Math [IM3]