Polynomials Class 10 | Full Chapter Revision | Zeroes, Graphs, α+β = −b/a, αβ = c/a | CBSE 2026-27

Revise the whole of CBSE Class 10 Maths Chapter 2, Polynomials, on a whiteboard, as per the CBSE syllabus for 2026-27 and the NCERT textbook (Reprint 2026-27). Theory only, step by step: degree and types of polynomials, the value of a polynomial and its zeroes, what zeroes look like on the graphs of linear, quadratic and cubic polynomials, the three cases for a quadratic, why a polynomial of degree n has at most n zeroes, and the relationship between zeroes and coefficients (α + β = −b/a, αβ = c/a) with its derivation, forming a quadratic from the sum and product of its zeroes, and the three relations for a cubic. With verified shortcuts, a memory aid, common misconceptions and links to other chapters. Not in the 2026-27 syllabus, so not covered: the division algorithm for polynomials. ⏱ Chapters 0:00 Introduction 0:34 Roadmap 1:16 Foundations: polynomials and degree 2:21 Linear, quadratic, cubic 3:29 Value and zeroes 4:50 Zeroes on a graph: linear 5:36 Zeroes on a graph: quadratic 6:41 Three cases for a quadratic 7:37 Zeroes on a graph: cubic 8:53 Reading zeroes from a graph 9:30 Zeroes and coefficients: the pattern 11:11 Why α + β = −b/a and αβ = c/a 12:38 See it work 13:50 Forming a quadratic 14:59 Cubic: three relations 16:35 Quick checks and shortcuts 18:00 Misconceptions 19:14 How this chapter connects 20:27 Recap 21:36 Next video and contact ▶ Next in the series: Chapter 3, Pair of Linear Equations in Two Variables. ◀ Previous: Chapter 1, Real Numbers. Learn with Guidepoint Academy: visit or call us. 📍 Office No. 203, Omran Tower, Al Qasimia, Sharjah, UAE 📞 Call: 056 690 0311 | 050 512 2641 #Polynomials #Class10Maths #CBSE2027 #CBSEClass10 #NCERT #GuidepointAcademy #Sharjah