Class 10 Maths Chapter 2 Polynomials (2026–27)

CBSE Class 10 Maths Chapter 2 – Polynomials (2026–27)

Learn Chapter 2 Polynomials with free notes, exercise solutions, MCQs, PDFs, and video lessons based on the latest CBSE syllabus.

📅 Last Updated: July 2026

📘 Syllabus: Based on the latest CBSE Class 10 (2026–27) syllabus

✅ Updated Resources Include:

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  • Free PDF Downloads
  • Video Lessons
  • MCQs & PYQs
  • Formula Sheets
  • Sample Papers

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Chapter Summary

Polynomials are one of the fundamental concepts in Class 10 Mathematics and play an important role in algebra. In this chapter, students learn how to identify different types of polynomials based on their degree, understand their standard form, and explore the concept of zeroes of a polynomial. The chapter also explains the relationship between the zeroes and the coefficients of quadratic polynomials, helping students solve algebraic problems more efficiently. You will study important concepts such as polynomial division, the Division Algorithm, and the Factor Theorem, which are useful for simplifying expressions and solving equations. Graphical representation of polynomials is also introduced to help you understand how polynomial functions behave and where they intersect the x-axis.

By studying this chapter, you will develop strong algebraic reasoning and problem-solving skills that are essential for higher mathematics. The concepts learned here form the foundation for later topics such as quadratic equations, functions, coordinate geometry, and calculus. Regular practice of NCERT exercises, solved examples, and multiple-choice questions will improve your speed and accuracy in solving polynomial-based problems. Since questions from this chapter frequently appear in CBSE board examinations and other competitive exams, mastering the concepts and practicing different question types is highly recommended. With clear explanations, step-by-step solutions, revision notes, MCQs, important questions, and downloadable study resources, this chapter will help you build confidence and achieve excellent marks in your Class 10 Mathematics examination.

Learning Outcomes

✔ Identify different types of polynomials.

✔ Find the zeroes of a polynomial.

✔ Understand the relationship between zeroes and coefficients.

✔ Solve NCERT exercise questions confidently.

Key Topics

✔ Polynomial

✔ Degree

✔ Types

✔ Zeroes

✔coefficients

⭐ Study Resources

📝 Exercise Solutions

Step-by-step video lessons covering every concept based on the latest CBSE syllabus.

📄 Study Notes

Comprehensive notes with explanations, solved examples, and important concepts.

🧠 Mind Map

Visual chapter summary for quick revision of important concepts and formulas.

📚  Formula Sheet

 Formula Sheet

Access all important formulas, revision points, and key facts for quick exam preparation.

📘 NCERT Solutions

Step-by-step solutions for every NCERT textbook exercise with clear explanations.

📘 Exemplar Solutions

Detailed solutions for NCERT Exemplar questions to strengthen higher-order thinking.

📑 Important Questions

Most expected board exam questions with detailed solutions and explanations.

🕒 PYQs

Previous Year Questions to understand the latest CBSE board exam pattern.

❓ MCQs

Chapter-wise multiple-choice questions for concept reinforcement and quick revision.

🎥 Video Lessons

Step-by-step video lessons covering every concept based on the latest CBSE syllabus.

 

📑 Competency Based Questions

Assertion & Reason and Case Study questions based on the latest CBSE pattern..

📄 PDF Notes

Additional practice questions to improve problem-solving skills and self-assessment.

Exercise Solutions

📘 Exercise 2.1 – Graphs and Zeroes of Polynomials

Exercise 2.1 introduces the concept of the zeroes of a polynomial through graphical representation. Students learn how to determine the number of zeroes by observing where the graph of a polynomial intersects or touches the x-axis. This exercise develops a strong visual understanding of polynomial functions and their graphs.

📘 Exercise 2.2 – Zeroes and Coefficients of Quadratic Polynomials

Exercise 2.2 focuses on finding the zeroes of quadratic polynomials and verifying the relationship between their zeroes and coefficients. Students also learn to construct quadratic polynomials when the sum and product of the zeroes are given. These concepts are essential for solving algebraic problems and are frequently tested in CBSE board examinations.

Free PDF Downloads

📄 Chapter Notes PDF

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📘 NCERT Solutions PDF

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📝 Exercise Solutions PDF

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❓ MCQs PDF

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📑 Important Questions PDF

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📚 Formula Sheet PDF

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❓ Frequently Asked Questions

1. What is a polynomial?

A polynomial is an algebraic expression consisting of variables, coefficients, and non-negative integer powers of variables combined using addition, subtraction, and multiplication.

According to the latest CBSE Class 10 Mathematics (2026–27) textbook, Chapter 2 contains 2 exercises: Exercise 2.1 and Exercise 2.2.

This chapter covers polynomials, degree of a polynomial, zeroes of polynomials, graphical representation of zeroes, the relationship between zeroes and coefficients of quadratic polynomials

Yes. All study notes, solutions, and learning resources are prepared according to the latest CBSE Class 10 Mathematics (2026–27) syllabus.

Yes. Step-by-step solutions for Exercise 2.1 and Exercise 2.2 are available with detailed explanations.

Yes. Free PDF notes and other downloadable study resources are available on this page.

Yes. This chapter includes chapter-wise MCQs, important questions, and additional practice material for exam preparation.

Yes. Polynomials is an important chapter in Class 10 Mathematics and questions based on zeroes of polynomials and the relationship between zeroes and coefficients are frequently asked in CBSE board examinations.

Yes. Video lessons are provided to help students understand each concept with clear explanations and solved examples.

These resources are suitable for CBSE Class 10 students, teachers, and parents looking for reliable notes, NCERT solutions, MCQs, PDFs, and revision material.

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Chapter 1 – Real Numbers

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Chapter 3 – Pair of Linear Equations

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Chapter 4 – Quadratic Equations

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