NCERT Solutions for Class 9 Maths Chapter 2:
Polynomials – Exercise 2.1
NCERT Solutions for Class 9 Maths Chapter 2: Polynomials – Exercise 2.1
Chapter 2 of Class 9 Maths opens the door to a new algebraic concept — Polynomials. In Exercise 2.1, students are introduced to the basics of polynomials, including the types, terms, and degrees. This exercise sets the stage for understanding algebraic expressions in a structured way.
What Is a Polynomial?
A polynomial is an algebraic expression made up of variables and constants, connected by operations like addition, subtraction, and multiplication.
Example: 2x² + 3x – 5 is a polynomial in variable x.
Key Concepts in Exercise 2.1:
-
Terms of a Polynomial:
Each part of the polynomial (like 2x², 3x, and –5) is called a term. -
Coefficient:
The numerical part of a term. In 3x, the coefficient is 3. -
Types of Polynomials Based on Terms:
-
Monomial – 1 term (e.g., 5x)
-
Binomial – 2 terms (e.g., x + 1)
-
Trinomial – 3 terms (e.g., x² + 3x + 2)
-
-
Degree of a Polynomial:
The highest power of the variable in the expression.
Example: In 4x³ + 2x² – 7, the highest degree is 3.
What Exercise 2.1 Covers:
-
Identifying polynomials in one variable
-
Naming the type of polynomial (monomial, binomial, trinomial)
-
Finding the degree of given polynomials
-
Recognizing valid and invalid expressions as polynomials
Tips for Solving Exercise 2.1:
-
Carefully observe each term to identify the variable and exponent.
-
Remember: A valid polynomial must not have variables in the denominator or fractional exponents.
-
Practice identifying the number of terms — it helps categorize the polynomial correctly.
For (2025-26)
NCERT Solutions Class 9 Maths Chapter 2 :
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.1
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.2
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.3
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.4
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.5
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.2
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.3
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.4
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.5
Class 9 Maths Chapter 2 Exercise 2.1 (Page:- 29)
EXERCISE 2.1
NCERT Solutions Class 9 Maths Chapter 2 :
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.1
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.2
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.3
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.4
- NCERT Solution Class 9 Maths Chapter 2 Exercise 2.5
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.2
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.3
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.4
- NCERT Class 9 Maths Chapter 2 Polynomials Exercise 2.5