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TL;DW: Once you have your quotient and remainder from synthetic division, what do you do with them? We use the Division Algorithm to rewrite f(x) = (x^3 - x^2 + x - 11)/(x + 2). By expressing the function as Quotient + (Remainder / Divisor), we get f(x) = x^2 - 3x + 7 - 25/(x + 2). This new form makes it much easier to see how the function behaves as x gets very large! #math #precalculus #rationalfunctions #visionalgorithm #algebra2 #polynomials #mathhacks #stewartprecalculus #asymptotes #syntheticdivision How to REWRITE a RATIONAL Function Using the QUOTIENT and REMAINDER (Division Algorithm) 📖 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.