Ex 2.1 Class 9 Ganita Manjari Chapter 2: Introduction to Linear Polynomial

Class 9 Maths Ganita Manjari Chapter 2 Exercise 2.1 Solutions cover the basic ideas of polynomials from Introduction to Linear Polynomials. This exercise helps students identify the degree of a polynomial, write examples of polynomials of different degrees, and find coefficients and constant terms.

Chapter 2 begins with algebraic expressions and then focuses on one-variable polynomials. In Ganita Manjari Class 9 Chapter 2 Exercise 2.1, students practise terms, variables, coefficients, degree, constant polynomials, linear polynomials, quadratic polynomials and cubic polynomials. These Class 9 Maths Chapter 2 Exercise 2.1 Solutions explain each answer step by step in a simple, exam-ready format.

Class 9 Maths Ganita Manjari Chapter 2 Exercise 2.1 Solutions

Ex 2.1 Class 9 Ganita Manjari Solutions

Question 1:
Find the degrees of the following polynomials.
(i) 2x² – 5x + 3

Solution:

The highest power of

$x$

is 2.

Degree of the polynomial = 2.

(ii) y³ + 2y – 1

Solution:

For

$y^3 + 2y - 1$

, the highest power of

$y$

is 3.

Degree of the polynomial = 3.

(iii) – 9

Solution:

For the polynomial

$-9$

, there is no variable term.

Degree of the polynomial = 0.

(iv) 4z – 3

Solution:

For

$4z - 3$

, the highest power of

$z$

is 1.

Degree of the polynomial = 1.

Question 2:
Write the polynomials of degree 1, 2, and 3.

Solution:

• Degree 1 (Linear): 4x + 2
• Degree 2 (Quadratic): 3x² – 4x + 7
• Degree 3 (Cubic): x³ + 2x² – x + 10

Question 3:
What are the coefficients of x2 and x3 in the polynomial x⁴ – 3x³ + 6x² – 2x + 7?

Solution:

The term containing x² is 6x², so the coefficient of x² is 6.
The term containing x³ is -3x³, so the coefficient of x³ is -3.

Question 4:
What is the coefficient of z in the polynomial 4z³ + 5z² – 11?

Solution:

Since we can rewrite 4z³ + 5z² – 11 as 4z³ + 5z² + 0z – 11,
∴ The coefficient of z in the given polynomial is 0.

Question 5:
What is the constant term of the polynomial 9x³ + 5x² – 8x – 10?

Solution:

In the polynomial

$$9x^3 + 5x^2 - 8x - 10$$

the term without a variable is

$-10$

.

Constant term =

$-10$

Related Resource:

• Class 9 NCERT Solutions Part 1 Chapter 2
• Exercise 2.2 – Polynomial Values and Linear Equations
• Exercise 2.3 – Linear Patterns
• Exercise 2.4 – Linear Growth and Linear Decay
• Exercise 2.5 – Linear Relationships
• Exercise 2.6 – Graphs of Linear Relationships
• End-of-Chapter Exercises – Introduction to Linear Polynomials