• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • ICSE Solutions
    • ICSE Solutions for Class 10
    • ICSE Solutions for Class 9
    • ICSE Solutions for Class 8
    • ICSE Solutions for Class 7
    • ICSE Solutions for Class 6
  • Selina Solutions
  • ML Aggarwal Solutions
  • ISC & ICSE Papers
    • ICSE Previous Year Question Papers Class 10
    • ISC Previous Year Question Papers
    • ICSE Specimen Paper 2021-2022 Class 10 Solved
    • ICSE Specimen Papers 2020 for Class 9
    • ISC Specimen Papers 2020 for Class 12
    • ISC Specimen Papers 2020 for Class 11
    • ICSE Time Table 2020 Class 10
    • ISC Time Table 2020 Class 12
  • Maths
    • Merit Batch

A Plus Topper

Improve your Grades

  • CBSE Sample Papers
  • HSSLive
    • HSSLive Plus Two
    • HSSLive Plus One
    • Kerala SSLC
  • Exams
  • NCERT Solutions for Class 10 Maths
  • NIOS
  • Chemistry
  • Physics
  • ICSE Books

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.2

December 26, 2018 by Dattu

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.2 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 2 Polynomials Class 10 NCERT Solutions Ex 2.2. 

  • Polynomials Class 10 Ex 2.1
  • Polynomials Class 10 Ex 2.3
  • Polynomials Class 10 Ex 2.4
BoardCBSE
TextbookNCERT
ClassClass 10
SubjectMaths
ChapterChapter 2
Chapter NamePolynomials
ExerciseEx 2.2
Number of Questions Solved2
CategoryNCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.2

Page No: 33

Question 1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(i) x2 – 2x – 8
(ii) 4s2 – 4s + 1
(iii) 6x2 – 3 – 7x
(iv) 4u2 + 8u
(v) t2 – 15
(vi) 3x2 – x – 4

Solution:

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 2
So, the zeroes of x² – 2x – 8 are 4 and -2.
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 3
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 4
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 5
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 6
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 7
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 8

Concept Insight: The zero of a polynomial is that value of the variable which when substituted in the polynomial makes its value 0. When a quadratic polynomial is equated to 0, then the values of the variable obtained are the zeroes of that polynomial. The relationship between the zeroes of a quadratic polynomial with its coefficients is very important. Also, while verifying the above relationships, be careful about the signs of the coefficients.

Question 2. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i) 1/4, -1
(ii) √2, 1/3
(iii) 0, √5
(iv) 1,1
(v) -1/4,1/4
(vi) 4,1

Solution:
(i)    Let the required polynomial be  ax² + bx + c, and let its zeroes α and β

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 9
If a = 4k, then b = -k, c = -4k  Therefore, the quadratic polynomial is k(4 x 2 – x – 4), where k is a real number .
(ii)     Let the polynomial be  ax² + bx + c, and let its zeroes be α and β
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 10
(iii)    Let the polynomial be  ax² + bx + c, and let its zeroes be α and β
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 11
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 12
(iv)    Let the polynomial be  ax² + bx + c, and let its zeroes be α and β
Therefore, the quadratic polynomial is k(x² – x + 1), where k is a real number.
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 13
(v)    Let the polynomial be ax² + bx + c, and its zeroes be α and β
Therefore, the quadratic polynomial is k(4x² + x + 1),where k is a real number .
(vi)    Let the polynomial be ax² + bx + c.
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials 14
Therefore, the quadratic polynomial is k(x² – 4x + 1), where k is a real number.

Concept Insight:  Since the sum and product of zeroes give 2 relations between three unknowns so we assign a value to the variable a and obtain other values.
Alternatively, If the sum and the product of the zeroes of a quadratic polynomial is given then polynomial is given by, where k is a constant. And the simplest polynomial will be the one in which k = 1.

 

We hope the NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.2 help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.2, drop a comment below and we will get back to you at the earliest.

Filed Under: CBSE Tagged With: NCERT Solutions for Class 10 Maths

Primary Sidebar

  • MCQ Questions
  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • ICSE Solutions
  • Selina ICSE Solutions
  • Concise Mathematics Class 10 ICSE Solutions
  • Concise Physics Class 10 ICSE Solutions
  • Concise Chemistry Class 10 ICSE Solutions
  • Concise Biology Class 10 ICSE Solutions
  • Concise Mathematics Class 9 ICSE Solutions
  • Concise Physics Class 9 ICSE Solutions
  • Concise Chemistry Class 9 ICSE Solutions
  • Concise Biology Class 9 ICSE Solutions
  • ML Aggarwal Solutions
  • ML Aggarwal Class 10 Solutions
  • ML Aggarwal Class 9 Solutions
  • ML Aggarwal Class 8 Solutions
  • ML Aggarwal Class 7 Solutions
  • ML Aggarwal Class 6 Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC

Recent Posts

  • Difference Between Isotopes And Isobars: Understanding The Key Differences
  • Difference Between Biodegradable And Nonbiodegradable: A Comprehensive Guide
  • Difference Between Fragmentation And Regeneration: Understanding The Key Differences
  • Difference Between Flora And Fauna: A Comprehensive Guide
  • Wireless Network Advantages and Disadvantages | Advantages and Disadvantages of Wireless Network Communication
  • Franchising Advantages and Disadvantages | Pros and Cons of Buying a Franchise, Advantages and Disadvantages
  • Spiral Model Advantages and Disadvantages | Advantages and Disadvantages of Using Spiral Model
  • Advantages and Disadvantages of Prototype Model | Prototyping Model in Software Engineering for Testing
  • Interviews Advantages And Disadvantages | What is an Interview? 6 Merits and Demerits of Interview
  • Advantages and Disadvantages of Observation Method | Merits and Demerits of Observation in Marketing
  • Genetically Modified Crops Advantages and Disadvantages | Advantages and Disadvantages of GM Crops

Footer

  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • Picture Dictionary
  • English Speech
  • ICSE Solutions
  • Selina ICSE Solutions
  • ML Aggarwal Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC
  • Distance Education
DisclaimerPrivacy Policy
Area Volume Calculator