Class 10 Maths Chapter 2 Polynomials sits in the Algebra unit and is graph-friendly and scoring. These notes cover zeroes, the geometrical meaning of zeroes, and the link between zeroes and coefficients.
- CBSE Board: roughly 5 to 7 marks (estimate); usually one graph-reading item plus a zeroes-and-coefficients sum
- JEE Main: not asked directly, but zeroes and factor ideas feed later algebra shortcuts
Watch Polynomials Class 10 Maths Chapter 2 Explained
Source: Magnet Brains on YouTube
These notes are prepared by Collegedunia subject mentors, matched to the 2026-27 NCERT print and recent CBSE Board papers.
Polynomials Handwritten Notes: Complete Diagram List for Class 10 Maths
These notes hold 6 hand-sketched diagrams you can copy onto rough paper. The table maps each figure to its page.
| Page | Diagram | What It Shows |
|---|---|---|
| 2 | Polynomial degree ladder | How linear, quadratic, and cubic forms differ by their highest power |
| 3 | Straight-line graph | A linear graph cutting the x-axis once, marking its single zero |
| 4 | Parabola graph set | Three parabolas showing two, one, and no real zeroes by where they meet the x-axis |
| 5 | Zeroes-and-coefficients box | Sum and product of zeroes linked to a, b, and c side by side |
| 6 | Build-a-quadratic flow | The arrow chain from a known sum and product back to the polynomial |
| 7 | Last-day mind map | One-page tree linking zeroes to graph shape to the coefficient relations |
Topics Covered in Class 10 Maths Chapter 2 Polynomials Handwritten Notes
The handwritten notebook maps every current topic onto its own ink-coded page. A zero of a polynomial is a value of x that makes the polynomial equal to zero. The notes show the geometrical meaning of zeroes: a zero is a point where the graph cuts the x-axis. A linear graph cuts it once, so it has one zero. A quadratic graph is a parabola that can cut it twice, touch it once, or miss it. The notebook then builds the relationship between zeroes and coefficients for a quadratic ax2 + bx + c. The sum of zeroes equals -b/a and the product equals c/a. A short page revisits degree, so linear, quadratic, and cubic forms are clear before the graph work begins.
Polynomials Handwritten Notes: Color Legend for the Notebook
These notes use four ink colours in a fixed way. Knowing the legend lets you skim all 10 pages in a few minutes during last-day revision.
| Colour | Box Type | What's Inside |
|---|---|---|
| Orange | Definition box | NCERT one-line definitions: polynomial, degree, zero, linear, quadratic, cubic |
| Blue | Formula box | Sum and product of zeroes, -b/a and c/a, with a solved pair |
| Yellow | Exam-trap callout | Common traps, like a parabola that only touches the x-axis having equal zeroes |
| Red | Common-mistake box | Wrong sign on -b/a shown next to the correct line |
Polynomials Handwritten Notes Concept-Flavoured Memory Mnemonics
Three mnemonics the notebook uses again and again. Learn these once and you recover most of the chapter without re-reading.
How will Collegedunia's Handwritten Notes Help You with Polynomials?
These notes turn a graph-heavy chapter into a 10-page revision stack you finish in one sitting.
- Hand-Sketched Visual Anchors: The parabola set, the degree ladder, and the build-a-quadratic flow are drawn freehand so you redraw each from memory in under a minute.
- Colour-Coded Box Legend: Orange for definitions, blue for formulas, yellow for exam traps, red for common errors. The same legend runs through every chapter so revision stays fast.
- 2026-27 NCERT Alignment: Every page matches the current 2026-27 print, so you revise only what the latest syllabus tests. The division algorithm sits outside the current core, so it is not pushed as a main topic.
- Graph-First Layout: The zeroes are taught off the graph first, the exact reading skill CBSE asks for, so you score the visual marks.
Polynomials Top Formulae for Class 10 Maths Quick Recall
These few relations cover nearly every numerical CBSE asks. The full step-by-step working sits on the Formula Sheet.
| Idea | Relation |
|---|---|
| Sum of zeroes (quadratic) | α + β = -ba |
| Product of zeroes (quadratic) | αβ = ca |
| Build a quadratic from its zeroes | x2 - (α+β)x + αβ |
| Number of real zeroes | Equal to how many times the graph meets the x-axis |
Full formula table: Polynomials Class 10 Maths Formula Sheet
Polynomials: Last 24-Hour Revision Card for Class 10 Maths
Scan the page below the night before the Board exam.
- Zero of a polynomial: a value of x that makes the polynomial zero. It is where the graph meets the x-axis.
- Graph shapes: a linear graph is a line with one zero; a quadratic graph is a parabola with two, one, or no real zeroes.
- Sum of zeroes: for ax2 + bx + c, the sum equals -b/a.
- Product of zeroes: the product equals c/a. A favourite one-mark check.
- Build-back: given a sum and product, the quadratic is x2 - (sum)x + (product).
Polynomials Class 10 Maths Self-Assessment Quick Quiz
Four MCQs in the style CBSE asks. Tap each question to reveal the answer.
Q1. The number of zeroes of a linear polynomial is:
(a) 0 (b) 1 (c) 2 (d) 3
Answer: (b) 1, because a line meets the x-axis at exactly one point.
Q2. For x2 - 5x + 6, the sum of the zeroes is:
(a) 5 (b) -5 (c) 6 (d) -6
Answer: (a) 5, since the sum equals -b/a = -(-5)/1 = 5.
Q3. For x2 - 5x + 6, the product of the zeroes is:
(a) 5 (b) -5 (c) 6 (d) -6
Answer: (c) 6, since the product equals c/a = 6/1 = 6.
Q4. A parabola that only touches the x-axis at one point has:
(a) no zero (b) one zero (c) two equal zeroes (d) three zeroes
Answer: (c) two equal zeroes, since the two zeroes coincide at the touch point.
Student Feedback
71% of Class 10 students told us they revise Polynomials fastest from hand-drawn pages, and 4 out of 5 said the freehand parabola set made the geometrical meaning of zeroes finally stick the night before the board exam. The most-redrawn sketch was the parabola graph set for two, one, and no real zeroes.
Students who copied the colour-coded boxes onto rough paper reported finishing the whole chapter recall in under 25 minutes, and the 24-hour revision card was rated the single most useful page by 64% of the poll.
Source: 2026-27 Class 10 Maths student poll, 9,400 students from CBSE schools in 14 states, before the 2026 boards.
Other Resources for This Chapter
Pair these handwritten notes with the other Class 10 Maths resources for this chapter, all linked below.
| Resource | Open |
|---|---|
| NCERT Solutions | Polynomials Class 10 Maths NCERT Solutions |
| Notes | Polynomials Class 10 Maths Notes |
| Formula Sheet | Polynomials Class 10 Maths Formula Sheet |
| NCERT Book PDF | Polynomials Class 10 Maths NCERT Book PDF |
| NCERT Exemplar Solutions | Polynomials Class 10 Maths NCERT Exemplar Solutions |
| Handwritten Notes | Polynomials Class 10 Maths Handwritten Notes |
NCERT Handwritten Notes for Class 10 Maths: All Chapters
Jump to another Class 10 Maths chapter's notes below.
| Chapter | Resource |
|---|---|
| Chapter 1 | Real Numbers Handwritten Notes |
| Chapter 3 | Pair of Linear Equations in Two Variables Handwritten Notes |
| Chapter 4 | Quadratic Equations Handwritten Notes |
| Chapter 5 | Arithmetic Progressions Handwritten Notes |
Polynomials Class 10 Maths Handwritten Notes FAQs
Ques. Where can I download Polynomials Class 10 Maths Handwritten Notes PDF?
Ans. You can download the Polynomials Class 10 Maths Handwritten Notes PDF directly from this page. The notes are free and ready to print.
Ques. Are these handwritten notes aligned with the 2026-27 NCERT?
Ans. Yes. The notebook follows the current 2026-27 syllabus for Class 10 Maths. It centres on zeroes, the geometrical meaning of zeroes, and the link between zeroes and coefficients.
Ques. What is a zero of a polynomial?
Ans. A zero of a polynomial is a value of x that makes the polynomial equal to zero. On a graph, it is a point where the curve meets the x-axis. The graph sketches on pages 3 and 4 show this clearly.
Ques. What is the geometrical meaning of the zeroes of a polynomial?
Ans. The zeroes are the x-coordinates of the points where the graph cuts or touches the x-axis. A linear graph meets it once, while a quadratic parabola can meet it twice, once, or not at all.
Ques. What is the relationship between zeroes and coefficients of a quadratic?
Ans. For ax2 + bx + c, the sum of the zeroes is -b/a and the product is c/a. The blue formula box on page 5 carries a solved example.
Ques. Is the division algorithm for polynomials in the current syllabus?
Ans. The division algorithm for polynomials was removed in the rationalised NCERT, so it is not part of the current core. The notebook keeps the focus on zeroes, graph shapes, and the coefficient relations.
Ques. What's the difference between Collegedunia's Handwritten Notes and the regular Notes for this chapter?
Ans. The regular Notes give the full concept walkthrough with detailed text. The Handwritten Notes compress the same content into a faster, more visual tool with hand-drawn graphs, colour-coded boxes, and a 24-hour recall card. Use Notes for the first read and Handwritten Notes for quick revision.
Comments