NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths

NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths: Factorisation of a number means breaking a number into factors whose product leads to that number. When an algebraic expression is factorised, it is written as a product of factors. These factors can be in terms of numbers, algebraic expressions or algebraic variables. Expressions like 2xy, 5×2 y, 2x(y + 2), and 5(y + 1)(x + 2) are said to be in factor form. The NCERT Solutions for Factorisation exercise 14.3 Class 8 Maths will help students learn the division of polynomials. 

The Embibe NCERT Solutions for Exercise 14.3 Maths Class 8  contains updated, easy-to-understand information. Students are advised to focus on practising all the in-text questions provided in the NCERT Solutions to score maximum marks in the CBSE Class 10 board exams. In this article, we have provided the NCERT Solutions for Factorisation exercise 14.3 Class 8 Maths, in PDF format. Read on to know more.

NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths: Overview

The NCERT Class 8 Maths Solutions are provided here in PDF format so that students can download them and practice the questions offline. Embibe’s subject experts have curated the Factorisation questions as per the latest CBSE guidelines. Students can check the overview of Below we have provided a brief overview of the NCERT Solutions for chapter 14 Factorisation for your information:

NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths: Get PDF

Students can easily learn and practice all the concepts of the CBSE Class 8 syllabus by practising the in-text and miscellaneous questions given in the NCERT textbooks. These questions help students build a strong conceptual understanding of the concepts taught in the NCERT textbooks.

Students are advised to start solving the NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths provided in this section. Below we have provided the NCERT Solutions for Chapter 14 Maths Class 8 for students’ reference. They can also bookmark this page to practice later.

NCERT Solutions for Factorisation Questions for Practices

Students can also refer to the NCERT Solutions for Class 8 Maths chapter 14 exercise 14.3 here:

Q.1: If 28×4÷56x=1kx. Then, find the value of k.
Solution: Given division is: 28×4÷56x
Solving the above, =28x456x
=2856×x4x
=12×x4-1
=12×x3
=12×3 Therefore, the value of k is 2.

Q.2: Divide the given polynomial by the given monomial 5×2-6x÷3x
Solution: Given division is: 5×2-6x by 3x
Taking x common, 5×2-6=x5x-6 =5×2-6x3x =x5x-63x
=xx×5x-63
=5x-63=53x-63=53x-2
Therefore, the answer is 53x-2.

Q.3: If 34x3y3z3÷51xy2z3=2kx2y. Then, find the value of k.
Solution:

Given division is:
34x3y3z3÷51xy2z3
Solving the above, =34x3y3z351xy2z3 =3451×x3x×y3y2×z3z3
=23×x3-1×y3-2×z3-3
=23×x2×y×z0
=23×x2×y×1
=23x2y Therefore, the required value of k is 3.

NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths: About the Exercise

In the Class 8 Maths chapter 14 exercise 14.3, students will solve questions based on the concept of Division of Algebraic Expressions. The ex 14.3 Class 8 has 5 questions. In each question, there are several equations which students are required to work out by following the method Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial).

The NCERT Solutions ex 14.3 Class 8 provide step-by-step simplification of each sub-question. Students are advised to first solve each question independently and then check their answers against the NCERT Solutions and track their progress.

NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths: Chapter Summary

The CBSE Class 8 Maths Chapter 14 Factorisation deals with the topics surrounding factorisation and methods to factorise different expressions. The important concepts covered in this chapter are summarised below:

1. When we factorise an expression, we write it as a product of factors. These factors may be numbers, algebraic variables or algebraic expressions. 
2. An irreducible factor is a factor which cannot be expressed further as a product of factors. 
3. A systematic way of factorising an expression is the common factor method. It consists of three steps: (i) Write each term of the expression as a product of irreducible factors (ii) Look for and separate the common factors and (iii) Combine the remaining factors in each term in accordance with the distributive law.
4. Sometimes, all the terms in a given expression do not have a common factor; but the terms can be grouped in such a way that all the terms in each group have a common factor. When we do this, there emerges a common factor across all the groups leading to the required factorisation of the expression. This is the method of regrouping. 
5. In factorisation by regrouping, we should remember that any regrouping (i.e., rearrangement) of the terms in the given expression may not lead to factorisation. We must observe the expression and come out with the desired regrouping by trial and error.
6. In expressions which have factors of the type (x + a) (x + b), remember the numerical term gives ab. Its factors, a and b, should be so chosen that their sum, with signs taken care of, is the coefficient of x.
7. We know that in the case of numbers, division is the inverse of multiplication. This idea is applicable also to the division of algebraic expressions.

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Advantages of Practising NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths

There are many benefits of practising ex 14.3 Class 8 from Embibe’s NCERT Solutions. We have provided some of the advantages of studying from Embibe’s NCERT Solutions below:

1. The NCERT Solutions prepared by Embibe follow the latest CBSE guidelines, issued from time to time.
2. The NCERT Solutions exercise 14.3 Class 8 are provided by our subject-matter experts in a very comprehensible language.
3. The NCERT Solutions for Class 8 Maths chapter 14 exercise 14.3 cover the topic Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial) well and students can understand the concept by solving the questions.
4. The NCERT Solutions are provided of cost by Embibe. 
5. The Embibe NCERT Solutions include all the in-text questions given in the NCERT Maths textbook.
6. The Maths NCERT Solutions for class 12 provided by Embibe also helps the students to prepare for the competitive exams effectively.

FAQs on NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths

Here are some of the most frequently asked questions on NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths:

Q.1: Where can I download the ex 14.3 Class 8 Maths NCERT Solutions for?
Ans: Students can download the ex 14.3 Class 8 Maths NCERT Solutions in pdf format from this page for.

Q.2: Is it enough to solve NCERT Solutions Class 8 Maths for final exam preparation?
Ans: The NCERT books are officially prescribed for school academics and are thus sufficient to prepare for the Class 8 final exam.

Q.3: Can I learn the Maths concepts of Factorisation by solving the NCERT Solutions?
Ans: Yes, solving the NCERT Solutions is essential to learn the concepts covered in the textbooks and to practice the questions. 

Q.4: What are the concepts covered in the NCERT Solutions Class 8 Maths chapter 14 exercise 14.3?
Ans. In NCERT Solutions ex 14.3 Class 8 Maths, students will learn about the Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial). 

Q.5: How many questions are there in Class 8 Maths chapter 14 exercise 14.3 NCERT Solutions?
Ans: There are five questions, each with several sub-questions the NCERT Solutions for Class 8 Maths chapter 14 exercise 14.3.

The NCERT Solutions for Factorisation Exercise 14.3 Class 8 Maths should be practised so that students can retain the concepts covered in that topic. Students can check Embibe’s 3D interactive videos, sample papers and take mock tests for all the CBSE Class 10 subjects and do a comprehensive board exam preparation. 

We hope this article on NCERT Solutions for Factorisation exercise 14.3 Class 8 Maths was useful to you. For any further doubts or queries, write to us in the comment below and we will get back to you at the earliest. 

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