PROOF 🧠 of WHY the REMAINDER THEOREM Actually Works (Use DIVISION ALGORITHM in 60 seconds) скачать в хорошем качестве

PROOF 🧠 of WHY the REMAINDER THEOREM Actually Works (Use DIVISION ALGORITHM in 60 seconds)

TL;DW: Ever wondered WHY the Remainder Theorem works? The proof all comes down to the Division Algorithm. In this video, we step away from the specific numbers and look at the abstract formula: P(x) = Q(x)(x - c) + R that comes from the Division Algorithm for polynomials. By simply plugging "c" into the equation, the entire quotient term vanishes, leaving us with P(c) = R. It’s one of the most elegant proofs in algebra, and it explains why the remainder from long division and synthetic division by a linear polynomial always give you the function value! Key Concepts: • The Division Algorithm formula. • Why the remainder is a constant when dividing by (x - c). • The "Magic of Zero" that proves P(c) = R. #math #algebra #remaindertheorem #calculus #mathematics #proof #stemeducation #polynomials #studyhelp DIVISION ALGORITHM for Polynomials Implies the REMAINDER THEOREM 📖 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.