Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem

In getting through algebra, we never talked about complex numbers, but they are important so let's discuss them now! These are numbers with a real component and an imaginary component, so we first have to understand what i means, in a mathematical context. It's the square root of negative one. Then we need to learn how to do arithmetic with these expressions, and finally we can understand how we get answers in this form when using the quadratic formula but with a negative discriminant. Much to discuss, check this out!Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMathClassical Physics Tutorials: http://bit.ly/ProfDavePhysics1Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2General Chemistry Tutorials: http://bit.ly/ProfDaveGenChemOrganic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChemBiochemistry Tutorials: http://bit.ly/ProfDaveBiochemBiology Tutorials: http://bit.ly/ProfDaveBioEMAIL► [email protected]► http://patreon.com/ProfessorDaveExplainsCheck out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!Amazon: https://amzn.to/2HtNpVHBookshop: https://bit.ly/39cKADMBarnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices