In this post, we provide the most accurate and easy-to-follow NCERT Class 9 Maths Ganita Manjari Solutions for Chapter 2 Exercise 2.1. Following the new 2026-27 NCERT syllabus, these step-by-step answers are designed to help students master the concepts of Polynomials. Whether you are preparing for a class test or your final exams, these Ganita Manjari Exercise 2.1 solutions will guide you through every question.
Class 9 Maths Ganita Manjari Chapter 2 Exercise 2.1 Solutions
Exercise 2.1 - Question 1
Find the degrees of the following polynomials:
(i) \( 2x^2 -5x + 3 \)
Answer: Highest power of x = 2 , So, degree = 2.
(ii) \(y^3 + 2y - 1\)
Answer: Highest power of y = 3, So, degree = 3.
(iii) – 9
Answer: This is a constant polynomial, so degree is 0.
(iv) 4z – 3
Answer: Highest power of z = 1, So, degree = 1.
Exercise 2.1 - Question 2
Write polynomials of degrees 1, 2, and 3.
Answer:
Degree 1 (linear polynomial): 8x + 2
Degree 2 (quadratic polynomial): \(x^2 + 2x - 1\)
Degree 3 (cubic polynomial): \(x^3 + 2x^2- x + 8\)
Exercise 2.1 - Question 3
What are the coefficients of \(x^2\) and \(x^3\) in the polynomial \(x^4 - 3x^3 + 6x^2 - 2x + 7\)?
Answer:
Coefficients of \(x^2\) = 6
Coefficients of \(x^3\) = – 3
Exercise 2.1 - Question 4
What is the coefficient of z in the polynomial \(4z^3 + 5z^2 - 11\)?
Answer:
There is no term that contains z.
So, the coefficient of z = 0.
Exercise 2.1 - Question 5
What is the constant term of the polynomial \(9x^3 + 5x^2 - 8^x -10\)? Recall that polynomials of degree 1 are called linear polynomials. In this chapter, we shall study linear polynomials.
Answer:
The constant term is –10.
Answer:
The constant term is –10.
Conclusion
We hope these NCERT Class 9 Maths Ganita Manjari Chapter 2 Exercise 2.1 Solutions have helped you understand the basics of polynomials, including how to identify them and determine their degrees. Practicing these fundamental questions is the key to mastering the entire chapter.
Frequently Asked Questions (FAQs)
1. What is a polynomial in the Ganita Manjari Class 9 curriculum?
A polynomial is an algebraic expression consisting of variables and coefficients, where the exponents of the variables are always whole numbers. If an expression has a negative or fractional exponent, it is not a polynomial.
2. How do I find the degree of a polynomial?
The degree of a polynomial is the highest power (exponent) of the variable in the expression.
For example, in \(5x^3 + 4x^2 + 7\), the degree is 3.
3. Are these solutions updated for the new 2026-27 session?
Yes. All solutions provided here are strictly based on the new NCERT Ganita Manjari textbook released for the 2026-27 academic year.
4. Can a constant number like 5 be a polynomial?
Yes, it is called a constant polynomial. The degree of a non-zero constant polynomial is always 0.
Last updated according to latest NCERT and CBSE syllabus.