Polynomials | Class 9 Mathematics Notes
By ConceptScroll Team · Published on 17 July 2026 · 2 min read

Polynomials – this guide gives you a concise, exam-ready overview of Polynomials from Class 9 Mathematics, written by ConceptScroll editors and reviewed against the latest NCERT textbook.
EXERCISE SETS AND END-OF-CHAPTER EXERCISES
The chapter includes multiple exercise sets (2.1 to 2.6) and end-of-chapter exercises designed to reinforce concepts of polynomials, especially linear polynomials and their applications. Exercises cover finding degrees of polynomials, evaluating polynomial values for given variables, forming linear expressions from real-life situations, solving linear equations, identifying coefficients and constants, and graphing linear equations. Advanced problems involve finding polynomials from given points, understanding parallel lines, and interpreting linear relationships in contexts like temperature conversions and work done by force. Some exercises challenge students to analyze growing patterns, factorize polynomials, and explore properties of linear functions. The exercises encourage critical thinking, application of algebraic methods, and graphical interpretation, consolidating the chapter's learning objectives.
📊 Diagram: Includes various tables and figures referenced throughout the chapter.
🧪 Activity: Exercises contain Think and Reflect prompts and problem-solving tasks to deepen understanding.
🔗 Connection: Consolidates chapter concepts and prepares students for further study of polynomials and linear equations.
Table on page 4 (2×8)
| Number of matches played | 1 | 2 | 3 | 4 | 5 | ... | m |
|---|---|---|---|---|---|---|---|
| Amount paid (₹) | 250 | 300 | 350 | 400 | 450 | ... | 200 + 50m |
Table on page 13 (2×8)
| x | 1 | 2 | 5 | 7 | 9 | 12 | 20 |
|---|---|---|---|---|---|---|---|
| y | 3 | 15 |
Table on page 23 (2×8)
| Stage Number | 1 | 2 | 3 | 4 | 5 | ... | n |
|---|---|---|---|---|---|---|---|
| Number of matchsticks |
Frequently asked questions
Find the remainder if x² + px + q is divided by x + r
r² - pr + q
Which of the following options gives the correct value of the polynomial x³ - 10x² + 3x - 4 at x = -1 ?
-18
Identify a polynomial from the given options
- 5z² - 9
One of the zeroes of the polynomial 12x³ - 24x² - 4x + 8 is__________________
-2/√12
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