Factoring Polynomials [Part 3] - Using Grouping

When polynomials have 4 terms, factoring by grouping is a great algebra trick to factor higher degree polynomials 😁. This video looks at factoring cubic polynomials , covering 2 examples, one with a leading coefficient of 1 😀 and another with a leading coefficient not equal to 1 🙃, where you will see how easy it is to factor by grouping. When you factor by grouping 4 terms, you will learn that it is not always necessary to follow the complex process 🤕 of using the integral zero theorem or the rational zero theorem (also known as the rational root theorem or rational roots theorem), together with the factor theorem, synthetic division or long division ➗, and finally factoring a quadratic, when we can get to the answer a lot more efficiently and easily using factoring by grouping 🌀. Note, however, that not all polynomials can be factored by grouping 😬. Only those that satisfy 2 conditions can be factored using this method. If you are in Grade 10, or studying Algebra 2, then this is a perfect time to learn this new skill 🔧, which can be used in all kinds of problem solving requiring factorization of polynomials 🏆. #SineOfOurTime Here is what you can expect in this video 📺: 00:00 Introduction 00:29 Example 1 - Does It Satisfy The 2 Conditions To Factor By Grouping? 01:22 Example 1 - Factoring Using Grouping 02:42 Example 1 - Using The Integral Zero Theorem etc... 03:12 What If The Leading Coefficient Is ≠ 1? 03:34 Example 2 - Does It Satisfy The 2 Conditions To Factor By Grouping? 04:28 Example 2 - Factoring Using Grouping 05:39 Example 2 - Using The Rational Zero Theorem etc... 06:22 Conclusion 🧑‍🤝‍🧑 LET'S STAY CONNECTED 🅿️Patreon: https://www.patreon.com/sineofourtime 🍏Teachers Pay Teachers: https://www.teacherspayteachers.com/Store/Sine-Of-Our-Time 🌐Website: https://www.sineofourtime.com/ 📸Instagram: @SineOfOurTime https://www.instagram.com/SineOfOurTime/ 👍Facebook: @SineOfOurTime https://www.facebook.com/SineOfOurTime/ ✨Twitter: @sineofourtime https://twitter.com/sineofourtime/ TRY OUT THE CORRESPONDING ⭐️KAHOOT TO THIS VIDEO: https://create.kahoot.it/share/factoring-polynomials-using-grouping/37033a99-d5c5-4f4c-b5f3-955b3d6c0e82 FOR MY AFRICAN VIEWERS: 🌍 If you are looking for an affordable platform that is filled with fun, interactive online learning materials with low data usage, then look no further than Ask Archie. With CAPS-aligned curriculums in both mathematics and physical science, Ask Archie will help you succeed by providing you with step-by-step explanations in solving tricky problems, and will also take tough theory and break it down into bite-size chunks. Follow this link to learn more: 🧠 https://askarchie.co.za/ #factoring #factoringpolynomials #integralzerotheorem #rationalzerotheorem #factortheorem #remainderandfactortheorem #remaindertheorem #syntheticdivision #longdivision #longdivisionmethod #polynomials #highschoolmath #youcanlearnanything #mathteacher #iteachmath #iteachalgebra #highschoolmathteacher #middleschoolmathteacher #middleschoolmath