## NCERT Solutions for Class 9 Maths Chapter 2 (Ex 2.3)

NCERT Solutions for Class 9 Maths Chapter 2: Polynomials - Exercise 2.3

## FAQs on NCERT Solutions for Class 9 Maths Chapter 2: Polynomials - Exercise 2.3

**1. What are the topics that are covered in this Chapter?**

Polynomial is an algebraic expression which includes constants, variables and exponents. It is the phrase where the variables have just positive elemental abilities. The topics that are covered in this chapter are:

Introduction

Polynomials in One Variable

Zeros of Polynomials

Remainder Theorem

Factorisation of Polynomials

Algebraic Identities

Polynomial expressions are algebraic equations that have two or more terms with the same variables of different exponents. This is one of the significant topics for class 9 Mathematics, that students need to learn to gain profound knowledge about complex algebraic expressions. Mathematics is one of those subjects that serve as a foundation of numbers, figures, analysis, and logic.

**2. How do the solutions of Vedantu help me in securing more grades?**

Our innovative learning methodology along with the smart and easy study techniques will make your learning methods more fun, interesting, interactive and in a properly planned way. Our NCERT Solutions for Class 11 Maths have been carefully designed to help you develop your knowledge base which will ultimately improve your retention rate.

All the important and necessary concepts have been covered by us in order to make your learning much easier for exam preparation. They have been crafted from the examination point of view. Our solutions are framed by our experts and they have covered each and every part of the chapter also the exercise questions which are covered at the end of the chapter.

**3. Give a brief description of the topic?**

Polynomial is derived from the word “poly” which means “many” and the word “nominal” which means “term”. In maths, a polynomial expression contains variables that are also known as coefficients and indeterminates. The coefficients require the operations of addition, subtraction, non-negative integer exponents of variables and multiplication.

Polynomials are utterances with one or more phrases with a non-zero coefficient. A polynomial can also have one or more than one number of terms. In the form of a polynomial, each utterance in it is known as a term. Suppose x^{2} + 9x+ 4 is polynomial, then the expressions x^{2}, 9x, and 4 are the terms of the polynomial. Each term of the polynomial has a coefficient. For example, if 4x+1 is the polynomial, then the coefficient of x is 4.

**4. What are the important terms of a polynomial?**

A term could either be a variable or a single number or it also could be a sequence of the variable with numbers.

The degree of the polynomial is the highest power of the variable in a polynomial.

A polynomial of degree 1 will be called as a linear polynomial.

A polynomial of degree 2 will be called as a quadratic polynomial.

A polynomial of degree 3 is known as a cubic polynomial.

A polynomial of 1 term is known as a monomial.

A polynomial of 2 terms is known as binomial.

A polynomial of 3 terms is known as a trinomial.

A real number ‘a’ is a zero of a polynomial p(x) if p(a) = 0, where a is also called as root of the equation p(x) = 0.

A linear polynomial in one variable holds an individual zero, a polynomial of a non-zero constant has no zero, and every real character is a zero of the zero polynomial.

**5. What concepts can I learn using the NCERT Solutions for Class 9 Maths Chapter 2?**

The following concepts have been discussed in NCERT Solutions for Class 9 Maths Chapter 2:

Introduction to polynomials

Polynomials with One Variable

Zeros of a Polynomial

Remainder Theorem

Factorisation of a Polynomial

Identities

**6. What are polynomials as discussed in Class 9 Maths Chapter 2?**

The word Polynomial is derived from 2 different words. Poly means many, and Nomials meaning terms. Therefore, a Polynomial is an expression with terms that have a coefficient not equal to 0. Polynomials may have one or more terms.

**7. How many questions are there in Class 9 Maths exercise 2.3?**

There are three questions in Exercise 2.3 of Class 9 Maths Chapter 2. You can download NCERT Solutions for Class 9 Maths Chapter 2 Polynomials (Ex 2.3) from the official website of Vedantu (vedantu.com). These solutions along with revision notes and study materials, are available free of cost on Vedantu (vedantu.com). You can download it using the Vedantu app as well.

**8. How do I solve Class 9 Maths exercise 2.3?**

Exercise 2.3 of NCERT Class 9 Maths deals with the ways in which you can use the long division method with polynomials for solving problems. To solve Class 9 Polynomials Exercise 2.3, you have to learn to divide one Polynomial with another or with a given term. This is to find the remainder of a division and also to know whether the divisor is a factor of the dividend.

You can download NCERT Solutions for Class 9 Maths Chapter 2 Polynomials (Ex 2.3) from the official website of Vedantu (vedantu.com). These solutions along with revision notes and study materials, are available free of cost on Vedantu (vedantu.com). You can download it using the Vedantu app as well.

**9. What are the most important definitions that come in Class 9 Exercise 2.3?**

You have to understand a few important definitions to ace the questions from Class 9 Maths Chapter 2 Exercise 2.3. These are:

Variables and Constants-

** variable:**** **it varies in separate cases.

** Constants:**** **it remains the same constantly in every case.

Terms- These are the sections of any given equation.

Polynomials- They are mathematical expressions that consist of terms.