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NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2

NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2 are your best study guide to solve the exercise. These solutions are prepared by askIITians Maths experts to help students understand how to solve questions related to the relationship between the zeroes and coefficients of a polynomial. Chapter 2 of the Class 10 Maths NCERT textbook is about Polynomials. You have studied the concept of polynomials in junior classes as well. But in class 10, this chapter focuses on zeros of a polynomial, the relationship between zeros and the coefficients of a polynomial, and the division algorithm for polynomials. Download the NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2 for step by step answers to the exercise and prepare yourself for your exams. 

About NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2

You must take note of some important points related to the Chapter 2 Polynomials of NCERT Class 10 Maths before you start solving the exercises. This will ensure that you make no mistakes in understanding the concepts related to the exercise. 

  • Polynomial: A polynomial is an algebraic expression consisting of multiple terms. 
  • Zero of a Polynomial: A real number c is said to be a zero of the polynomial p(x) if p(c)= 0. 
  • Zero of a Linear Polynomial: The zero of linear polynomial p(x) = ax+b is -b/a or - Constant Term of p(x) / Coefficient of x 
  • Zero of a Quadratic Polynomial: 
    • The general form of quadratic polynomial ax2 + bx +c where a ≠ 0 has two zeroes
    • Sum of zeroes = -b/a = - Coefficient of x/ Coefficient of x2.
    • Product of zeroes = c/a = Constant term/ Coefficient of x2.
  • Zeroes of a cubic polynomial: 
    • The general form of a cubic polynomial ax3 + bx2 +cx + d where a ≠ 0 has three zeroes. 
    • Sum of zeroes = b/a = - Coefficient of x2/ Coefficient of x3.
    • Sum of the product of zeroes taken two at a time = c/a = Coefficient of x/ Coefficient of x3.
    • Product of zeroes = -d/a = - Constant term/ Coefficient of x3.

Exercise 2.2 of NCERT Class 10 Maths Chapter 2 Polynomials includes two questions with 6 sub-parts. Let us see what is included in those two questions and how to solve them: 

 

Ex 2.2 Q1: In this question, you have to find the zeroes of the given quadratic polynomials and verify the relationship between the zeroes and the coefficients. You can solve this question easily by first finding the zeroes of the polynomial and then by using the formula given above for the relationship between zeroes of a quadratic polynomial and its coefficients. We have given step by step solutions for all the sub-parts of this question in our NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2. 

Ex 2.2 Q2: In this question, you are given the sum and products of zeroes of a quadratic polynomial and you have to find the polynomial. This question is the exact opposite of the first question. Just remember the formulae given above and you will be able to solve this question easily. For better clarity and understanding, check out our NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2. 

Download NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2

Polynomial is an interesting chapter with many new concepts introduced in Class 10 like the relationship between zeroes of a polynomial and its coefficients. We recommend that you solve all the questions of this exercise carefully so that you get a thorough understanding of how to approach such questions in the Class 10 CBSE Maths board exam. We also make sure that you have a handy guide with you that will help you resolve all your doubts regarding solving this exercise. This is why we have created exercise-wise solutions for NCERT Solutions for Class 10 Maths Chapter 2. 

NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2 are important because: 

  • You can download these NCERT Solutions for free and refer to them at any time, even before your exams for a quick revision. 
  • These solutions are prepared by askIITians qualified Maths experts based on the latest CBSE exam pattern and syllabus. So, these are the best study materials for board exam preparation. 
  • The NCERT Solutions include step by step solutions for the exercise questions about the relationship between zeroes of a polynomial and its coefficients. 
  • Anyone can download our free NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2 and study as per their pace. We encourage independent learning in class 10 students with these solutions. 
  • All these NCERT Solutions include stepwise answers and comprehensive explanations for your complete understanding of the chapter. 

Download the NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2 right away and start practising the exercise questions. You can also download the exercise solutions for other NCERT Exercises of Polynomials chapter from the links given below. 

NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.1

NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.3

NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.4

NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2 FAQs

  1. What is the main topic of the NCERT Class 10 Maths Chapter 2 Ex 2.2? 

Exercise 2.2 of Chapter 2 Polynomials of Class 10 Maths is based on the relationship between zeroes and the coefficients of a polynomial. The exercise mainly focuses on quadratic polynomials. 

  1. How to prepare NCERT Class 10 Maths Chapter 2 Polynomials? 

The askIITians Maths experts have prepared different study materials that will help you form a solid understanding of polynomial chapter like revision notes, mind maps, previous year questions, practice worksheets, mock tests and extra questions. You can also enrol in our live, interactive classes and study the concepts from our Maths experts. 

  1. Why should I download NCERT Solutions for Class 10 Maths Chapter 2 Ex 2.2? 

The NCERT Solutions will help resolve all your doubts regarding the relationship between zeros of a polynomial and its coefficients. These solutions include step by step explanations for your better understanding of the exercise. You can refer to these solutions at any time. 


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