NCERT Solutions for Class 9th Maths Chapter 2 Introduction to Linear Polynomials
Updated on 2026-09-08
About this chapter
An algebraic expression is built from numbers, variables and operation signs. In 4 x + 5 y + 3 the parts 4 x , 5 y and 3 are the terms , x and y are the variables , 4 and 5 are the coefficients and 3 is the constant . A univariate polynomial (one-variable polynomial) uses a single variable and its powers. The highest power present is its degree : 5 y ³ + y ² + 2 y − 1 is cubic (degree 3), x ² + 5 x + 1 is quadratic (degree 2), 3 z + 7 is linear (degree 1), and a non-zero constant such as 8 = 8 x ⁰ has degree 0. A polynomial is an input–output machine: put a value of the variable in, get a number out. For 2 x + 3, an input of 4 gives 11 and an input of −6 gives −9. This is what is meant by calling 2 x + 3 a function of x . The defining behaviour of a linear polynomial: equal steps in the va
- Introduction
- Introduction (Example 3)
- Linear Polynomials (Example 4)
- Linear Polynomials (Example 5)
- Linear Polynomials
- Exploring linear patterns
- Exploring linear patterns (Example 7)
- Exploring linear patterns (Example 8)
- Linear growth and linear decay (Example 9)
- Linear growth and linear decay (Example 10)
Exercises
- Think and Reflect — Introduction Page 17
- In-text Questions — Introduction (Example 3) Page 17
- Think and Reflect — Introduction (Example 3) Page 17
- Exercise Set 2.1 — Introduction Page 18–19
- Think and Reflect — Linear Polynomials (Example 4) Page 19
- Think and Reflect — Linear Polynomials (Example 5) Page 19
- Think and Reflect — Linear Polynomials Page 20
- Exercise Set 2.2 — Linear Polynomials Page 21
- Think and Reflect — Exploring linear patterns Page 22
- Think and Reflect — Exploring linear patterns Page 22
- Think and Reflect — Exploring linear patterns (Example 7) Page 23
- Think and Reflect — Exploring linear patterns (Example 8) Page 23
- Exercise Set 2.3 — Exploring linear patterns Page 23–24
- Think and Reflect — Linear growth and linear decay (Example 9) Page 24
- Think and Reflect — Linear growth and linear decay (Example 10) Page 25
- Exercise Set 2.4 — Linear growth and linear decay Page 25–26
- Think and Reflect — Linear Relationships (Example 11) Page 27
- Exercise Set 2.5 — Linear Relationships Page 27
- Think and Reflect — Visualising linear relationships Page 28
- In-text Questions — Visualising linear relationships (Examples 13, 14) Page 29
- In-text Questions — Visualising linear relationships (Fig. 2.9) Page 31
- In-text Questions — Visualising linear relationships (Fig. 2.11) Page 33
- Think and Reflect — Visualising linear relationships Page 33
- Think and Reflect — Visualising linear relationships (Fig. 2.13) Page 35
- Exercise Set 2.6 — Visualising linear relationships Page 36
- Chapter 2 Introduction to Linear Polynomials — End-of-Chapter Exercises Page 36–39