# NCERT Solutions for Class 9 Maths Chapter 2 Polynomials

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials-

We have learned algebraic expressions, their addition, subtraction, division and multiplication in earlier classes. In this chapter, we will study a particular type of algebraic expression, called polynomial, and also discuss the detailed terminologies related to it. In this chapter, there are 5 exercises with 33 questions. The NCERT Solutions for Class 9 Maths Chapter 2 Polynomials are prepared by our maths experts to help students in their preparation of class 9 CBSE final examination. These NCERT solutions of class 9 Maths are the detailed explanation of each question of NCERT textbook of class 9 Maths.

NCERT Class 9 Polynomials chapter, introduces a lot of important concepts which will be helpful for those students who choose mathematics as a subject in further classes. Polynomial is an important topic in maths, this chapter comes under the Algebra unit which holds 20 marks in the CBSE class 9 maths final exams. In NCERT Class 9 Maths Chapter 2 Polynomials we will study the definition of a polynomial, zeroes, coefficient, degrees and terms of a polynomial, types of a polynomial. We will also study the remainder and factor theorems and the factorisation of polynomials using factor theorem. At the end of the chapter, we will also discuss some more algebraic identities and their use in factorisation.

Important points of NCERT Class 9 Maths Chapter 2 Polynomials-

1. A polynomial

$p(x)$

in one variable

$x$

is an algebraic expression in

$x$

of the form

$\\p(x) =a_nx^n +a_{n-1}x^{n-1}+...............+a_2x^2+a_1x+a_o\\\\$

where

$\:a_o,\:a_1,\:a_2,.......a_n \:\: \:$ are constants and $a_n\neq 0$.

$\:a_o,\:a_1,\:a_2,.......a_n \:\: \:$ are respectively the coefficients of $x^o,\:x,\:x^2,........x^n$ and n is called the degree of the polynomial.

2. Monomial, binomial, trinomial are polynomials of one term, two terms and three terms respectively

3. A linear polynomial is a polynomial of degree one.

4. A quadratic polynomial is a polynomial of degree two.

5. A cubic polynomial is a polynomial of degree three.

6. Remainder Theorem- According to it, if polynomial

$p(x)$ of degree greater than or equal to one and $p(x)$ is divided by a linear polynomial $x -a$, then the remainder is $p(a)$.

7. Factor Theorem- According to it, if

$x -a$ is a factorof $p(x)$, then $p(a) = 0$.

## Topics of NCERT Grade 9 Maths Chapter 2 Polynomials-

2.1 Introduction

2.2 Polynomials in One Variable

2.3 Zeroes of a Polynomial

2.4 Remainder Theorem

2.5 Factorisation of Polynomials

2.6 Algebraic Identities

2.7 Summary

The complete Solutions of NCERT Class 9 Mathematics Chapter 2 is provided below:

## NCERT Solutions for Class 9 Maths - Chapter Wise

 Chapter No. Chapter Name Chapter 1 Number Systems Chapter 3 Coordinate Geometry Chapter 4 Linear Equations In Two Variables Chapter 5 Introduction to Euclid's Geometry Chapter 6 Lines And Angles Chapter 7 Triangles Chapter 8 Quadrilaterals Chapter 9 Areas of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 12 Heron’s Formula Chapter 13 Surface Area and Volumes Chapter 14 Statistics Chapter 15 Probability