Polynomials Class 10 Maths Chapter 2 Exercise 2.1 Solutions
Neha Tanna21 Nov, 2025
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Chapter 2 Polynomials Class 10 Exercise 2.1: Exercise 2.1 of Chapter 2 Polynomials in Class 10 Maths introduces students to the basic idea of polynomials and their degrees.
In this part, you learn how to identify whether an expression is a polynomial and how to find its degree easily. This exercise builds a strong foundation for the rest of the chapter, which later includes factorisation and the relationship between zeros and coefficients.
Whether you are looking for polynomial exercise 2.1 class 10 or chapter 2 polynomials class 10 exercise 2.1, this section helps you start with the basics in a simple and clear way.
What is a Polynomial?
The terms Poly (meaning "many") and Nominal (meaning "terms") combine to form the term polynomial. An expression that consists of variables, constants, and exponents joined by mathematical operations like addition, subtraction, multiplication, and division (but not division by a variable) is called a polynomial.
The expression is categorised as trinomial, binomial, or monomial depending on how many terms it contains. Here are some instances of variables, exponents, and constants:
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Constants. Example: 1, 2, 3, etc.
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Variables. Example: g, h, x, y, etc.
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Exponents: Example: 5 in x 5, etc.
Class 10 Maths Chapter 2 Ex 2.1 Polynomials
Find the complete NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1 (Polynomials) presented clearly and step-by-step below.1. The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
Solutions:
Graphical method to find zeroes:-
The total number of zeroes in any polynomial equation = the total number of times the curve intersects the x-axis.(iv) In the given graph, the number of zeroes of p(x) is 2 because the graph intersects the x-axis at two points.
(v) In the given graph, the number of zeroes of p(x) is 4 because the graph intersects the x-axis at four points.
(vi) In the given graph, the number of zeroes of p(x) is 3 because the graph intersects the x-axis at three points.
Chapter 2 Exercise 2.1 of Polynomials of Class 10 PDF
The NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1 help students understand the basics of polynomials in a clear and easy way. These step-by-step solutions explain how to identify a polynomial, find its degree, and understand different types.Importance of Using NCERT Solutions for Class 10 Chapter 2 Ex 2.1
Using these solutions helps students understand polynomials in a simple and structured way. They provide clear methods to solve every question with accuracy. These solutions also boost confidence and make exam preparation smoother and more effective.
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Builds Strong Concept Clarity
Step-by-step explanations help students clearly understand the basics of polynomials, their degree, and different types, making topics in polynomial exercise 2.1 class 10 easier to learn. -
Ensures Error-Free Learning
Expert-curated answers reduce mistakes and help students follow the correct method as given in the chapter 2 polynomials class 10 exercise 2.1 solutions. -
Helps in Effective Time Management
Guided solutions show quicker and smarter ways to solve problems, helping students save valuable time during exams. -
Supports Exam-Focused Preparation
Covers all important topics and question patterns commonly asked in Class 10 board exams. -
Enhances Problem-Solving Skills
Improves logical thinking and analytical ability with clear, easy-to-understand solutions. -
Encourages Self-Paced Study
Students can learn independently, revise anytime, and strengthen weak areas with ease. -
Useful for Competitive Exams
Builds a strong algebra base helpful for NTSE, Olympiads, and other entrance exams, with support from class 10 maths polynomials exercise 2.1 concepts.
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