DOUBLE Root?? or TRIPLE Root??? 🧊 The Synthetic Division Test скачать в хорошем качестве

DOUBLE Root?? or TRIPLE Root??? 🧊 The Synthetic Division Test

How to Show a DOUBLE ROOT (Multiplicity 2) of a Polynomial with Synthetic Division? How do you prove a root has a multiplicity of 2? You keep going! In this clip, we test x = 2 for the polynomial P(x) = 2x^4 - 17x^3 + 53x^2 - 72x + 36. To prove it's a double root, we perform synthetic division three times in a row: First division: Remainder is 0 (It's a root!) Second division (on the quotient): Remainder is 0 (It's a double root!) Third division (on the next quotient): Remainder is -1 (It's NOT a triple root!) This confirms that (x - 2)^2 is a factor of the polynomial but (x - 2)^3 is not a factor. #math #precalculus #syntheticdivision #doubleroots #multiplicity #algebra2 #polynomials #mathhacks #studyguide #stewartprecalculus How to Show x is a DOUBLE ROOT of P(x) with Synthetic Division 📖 Precalculus, by Stewart, Redlin, and Watson: https://amzn.to/4sIzIE9. Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ 🔴 Follow me on LinkedIn:   / bill-kinney-a1246610   🔴 Follow me on Twitter:   / billkinneymath   🔴 Follow me on Instagram:   / billkinneymath   🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ 🔴 Desiring God website: https://www.desiringgod.org/ AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.