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Just because x = 1 is a root doesn't mean we're done with it! It could be a double root (multiplicity of 2). In this quick clip, we test our quotient q(x) = 2x^3 + 7x^2 + 2x - 3. By plugging 1 into this new "depressed" polynomial, we get 8 instead of 0. Conclusion: x = 1 is a "single" root, and we can move on to testing our other candidates from the Rational Root Theorem! #math #precalculus #algebra2 #polynomials #multiplicity #doubleroots #syntheticdivision #mathhacks #studyhelp #stewartprecalc 📖 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.