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  • Last Modified 27-01-2023

NCERT Solutions for Factorisation Exercise 14.4 Class 8 Maths

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Exercise 14.4 Class 8 Maths: Chapter 14 of Class 8 Maths deals with Factorisation. Students are already familiar with the basic concepts of factorisation as they have learnt them in previous classes. However, in Class 8, students will get to learn about a more advanced concept. Students in search of NCERT Solutions for exercises 14.4 Class 8 Maths, can get all the details here. 

The Class 8 Maths Chapter 14 NCERT Solutions will help students understand how to solve the problems. It can help students understand the type of exercises they will need to solve. As a result, it will help to prepare the students for the exam. Practicing the NCERT Solutions will ensure that they can get over their doubts. Read further to download the PDFs.

Exercise 14.4 Class 8 Maths: An Overview

In Class 8, students should ensure that they practice the NCERT Solutions daily. While they can get their doubts clarified by the teacher, referring to the NCERT Solutions only helps to ensure that they can easily solve the problems. 

The NCERT Solutions for Class 8 Maths Chapter 14 Exercise 14.4 have been designed by academic experts at Embibe. They are created in a very easy-to-understand language that will help students get clarity of concepts in no time. Practicing these solutions will help students to strengthen their basics and master the concepts. 

They are a great resource to ensure that the students prepare for the examination well. Before heading out to download the PDFs, let’s take an overview of what Maths Chapter 14 Class 8 contains:

ExerciseTopics
14.1Introduction
14.1.1Factors of natural numbers
14.1.2Factors of algebraic expressions
14.2What is Factorisation
14.2.1Method of common factors
14.2.2Factorisation by regrouping terms
14.2.3Factorisation using identities
14.2.4Factors of the form (x+a) (x+b)
14.3Division of Algebraic Expressions
14.3.1Division of a monomial by another monomial
14.3.2Division of a polynomial by a monomial
14.4Division of Algebraic Expressions Continued
14.5Can you find the error?

NCERT Solutions of Maths Class 8 Chapter 14 Exercise 14.4

The factorisation is about finding and fixing the errors in a particular mathematical expression. Exercise 14.4 deals with Factorisation and the different methods of solving a particular expression. Arranging the terms in an appropriate manner will help the students to find the errors and fix them. 

The algebraic expressions are of utmost importance and determine that the students learn the concepts. Exercise 14.4 Class 8 Maths contains important solutions and exercises that can help students prepare for the respective examinations from before. In the given section, students will learn how to divide the algebraic expressions. 

Students who want to practice the NCERT Solutions for Class 8 Exercise 14.4 Maths can refer to the PDF below. 

Now that the students have an idea about the type of exercises and questions they need to solve for Exercise 14.4 Class 8 Maths, they can refer to the entire PDF. 

(download Exercise 14.4 Class 8 NCERT Solutions)

NCERT Solutions Class 8 Maths Chapter 14 Exercise 14.4: About the Exercise

Practicing the NCERT Solutions for Class 8 Maths Chapter 14 Exercise 14.4 can help to strengthen the basics of students regarding factorisation. Exercise 14.4 is a continuation of Exercise 14.3- Division of Algebraic Expressions. While 14.3 deals with the division of Polynomials by monomials, 14.4 deals with the division of Polynomials by polynomials. 

Once the students understand the basics of the division of algebraic expressions, they won’t have any difficulty with exercise 14.4. The polynomials are factored accordingly to ensure the polynomials come to the simplest form. Similar to normal number divisions, the algebraic expression divisions too have a remainder and dividend. 

Students must ensure that they read the content given in the NCERT Solutions thoroughly. Since exercise 14.4 deals with complex algebraic expressions, students must ensure that they prepare for the examinations accordingly. The NCERT Solutions for Exercise 14.4 Class 8 can be an efficient solution to prepare for the exams while avoiding any kind of mistakes. 

NCERT Solutions for Class 8 Maths Chapter 14: Chapter Summary

Class 8 Chapter 14 is based on Factorisation. It works on the basis of forms, their factors and properties within the algebraic numbers. While practicing the NCERT solutions for this chapter, the students will get to learn about factoring natural numbers and algebraic expressions. 

In the Division section, the students will learn about divisions with polynomials and monomials. By the end of the chapter, students will get to learn a lot of interesting facts. Students can get access to PDFs, solutions and explanations so that they can get all the questions. 

However, here are some of the most important points to remember while practising the NCERT Solutions for Exercise 14.4 Class 8:

  • At the point when we factorize an articulation, we compose it as a result of variables. These variables might be numbers, mathematical factors or arithmetical articulations.
  • An unchangeable variable is an element which can’t be communicated further as a result of elements.
  • A precise approach to factorizing an articulation is the normal variable technique. It comprises of three steps: 

(I) Write each term of the articulation as a result of unchangeable variables 

(ii) Look and separate the normal variables and 

(iii) Combine the excess elements in each term in accordance with the distributive regulation.

  • In some cases, every one of the terms in a given articulation don’t have a typical component; however the terms can be gathered so that every one of the terms in each gathering have a typical variable. At the point when we do this, there arises a typical element across every one of the gatherings prompting the necessary factorisation of the articulation. This is the strategy for regrouping.
  • In factorisation by regrouping, we ought to recall that any pulling together (i.e., revision) of the terms in the given articulation may not prompt factorisation. We should notice the articulation and emerge with the ideal pulling together by experimentation.
  • In articulations which have variables of the sort (x + a) (x + b), recall the mathematical term gives stomach muscle. Its elements, an and b, ought to be decided to such an extent that their total, with signs dealt with, is the coefficient of x.
  • We realize that on account of numbers, division is the backwards of duplication. This thought is material likewise to the division of arithmetical articulations.
  • On account of divisions of mathematical articulations that we concentrated on in this part, we have
  • Dividend = Divisor × Quotient.
  • Dividend = Divisor × Quotient + Remainder
  • In this way, we have thought about in the current section just those divisions in which the rest of it is zero.
  • On account of division of a polynomial by a polynomial, we can’t continue by isolating each term in the profit polynomial by the divisor polynomial. All things being equal, we factorize both the polynomials and drop their normal variables.
  • There are numerous blunders understudies generally make while settling polynomial math works out. You ought to try not to make such blunders.
  • On account of division of a polynomial by a monomial, we might complete the division either by separating each term of the polynomial by the monomial or by the normal element strategy.

Advantages of Referring to the NCERT Solutions for Exercise 14.4 Class 8 Math

Learning Factorisation since Class 8 will play an important role in helping students prepare for higher classes. Given below are some of the common benefits of referring to the NCERT Solutions for Exercise 14.4 Class 8 Maths:

  • The NCERT solutions have a stepwise problem-solving approach. This makes it easier for the students to clarify their doubts and prepare for the exams. 
  • The NCERT Solutions for Exercise 14.4 class 8 Maths covers all the important topics in an easy-to-understand manner. While practicing the solutions regularly, students can work towards learning better. 
  • The NCERT solutions are designed as per the latest CBSE syllabus and NCERT guidelines. Therefore, the students can be sure about receiving constant updates. With all the concepts being covered, it becomes easier for the students to learn better. 
  • If the student is preparing for competitive exams like the Olympiad, they need to practice the NCERT Solutions regularly. Referring to exercise 14.4 Class 8 Maths NCERT solutions can further help students prepare for the exams accordingly. 
  • Students can refer to the NCERT solutions to practice problems, get sample papers, follow the tips and notes to prepare for their examination accordingly. 
  • Students who practice the NCERT Solutions daily get a better clarity of the concepts. With stepwise solutions to the problems, they can practice better. This plays a vital role in improving the confidence level of students. 
  • When students have access to NCERT Solutions, they can solve the questions on their own. Since the NCERT Solutions are designed in an easy-to-understand manner, it becomes easier for the students to achieve a specific learning standard. 

NCERT Solutions for Class 8: All Chapter PDF Downloads

Since Maths is an important subject, students must practice for the exam regularly. They can refer to the NCERT Solutions for all the chapters. To make it easier for the students, we have tabulated the NCERT Solutions for all the chapters of Class 8. 

Students can check out the table below and download the Maths NCERT solution of their preference:

NCERT Solutions for Class 8 MathsChapter Name
Chapter 1Rational Numbers
Chapter 2Linear Equations in One Variable
Chapter 3Understanding Quadrilaterals
Chapter 4Practical Geometry
Chapter 5Data Handling
Chapter 6Squares and Square Roots
Chapter 7Cubes and Cube Roots
Chapter 8Comparing Quantities
Chapter 9Algebraic Expressions and Identities
Chapter 10Visualising Solid Shapes
Chapter 11Mensuration
Chapter 12Exponents and Powers
Chapter 13Direct and Inverse Proportions
Chapter 14Factorisation
Chapter 15Introduction to Graphs
Chapter 16Playing with Numbers

FAQs on Exercise 14.4 Class 8 Maths

Students appearing for Class 8 exams may have some doubts regarding Factorisation. To make it easier for the students, we are answering some of the frequently asked questions about Exercise 14.4 Class 8 Maths:

Q1: What does Exercise 14.4 Class 8 Maths deal with? 

Ans: The NCERT Solutions for Exercise 14.4 Class 8 deals with Division of Algebraic Expression. In the previous section, students have learnt how to divide polynomials by monomials. But in this section, the students will learn how to divide polynomials by polynomials. 

Q2: Should students practice the NCERT Solutions for Class 8 Maths regularly? 

Ans: The NCERT Solutions for Class 8 Maths have been designed by academic experts at Embibe. To make it easier for the students, the NCERT Solutions are written in a very easy-to-understand, lucid manner that can help the students prepare for the exams easily. 

Q3: How many questions are there in NCERT Solutions for Exercise 14.4 Class 8 Maths? 

Ans: There are numerous questions for NCERT Solutions for Exercise 14.4 Class 8 Maths. Students can refer to the PDF link given above to download the solutions and start practicing for the exams accordingly. 

Q4: Where can I download the NCERT Solutions for Exercise 14.4 Class 8 Maths?

Ans: Students can download the NCERT Solutions for Exercise 14.4 Class 8 Maths from Embibe. Scroll above to get the PDF download link. 

Q5: Why should I prepare factorisation?

Ans: Although students are familiar with the basic concepts of factorisation, they must learn Chapter 14 of Class 8 thoroughly to get an idea about the advanced concepts as well. Students who want to appear in competitive exams should prepare for exams with factorisation thoroughly to score better marks in the exam. 

In this article, we have provided the download links for NCERT Solutions for Exercise 14.4 Class 8. Students preparing for Class 8 CBSE exams need to ensure that they refer to the NCERT solutions. This will help to clarify their doubts and also help them solve the homework and assignments easily.

We hope this article has been helpful for you. If you ever have any confusion or get stuck in any of the exercises, you can drop them in the drop in the comments section below. We shall get back to you with a resolution to the problem.

Till then, stay tuned to Embibe to receive further updates about CBSE. 

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