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RD Sharma Class 8 Solutions Chapter 8 - Division of Algebraic Expressions (Ex 8.6) Exercise 8.6

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Last updated date: 26th Feb 2024
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IVSAT 2024

Preparation for Class 8 with RD Sharma Solutions

Free PDF download of RD Sharma Class 8 Solutions Chapter 8 - Division of Algebraic Expressions Exercise 8.6 solved by Expert Mathematics Teachers on Vedantu. All Chapter 8 - Division of Algebraic Expressions Ex 8.6 Questions with Solutions for RD Sharma Class 8 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Class 8 Solutions of RD Sharma

Students can refer to RD Sharma Solutions for Class 8 Maths Chapter 8 Division of Algebraic Expressions, which is the best study material for those students who want to top their board exams. Subject experts at Vedantu have formulated RD Sharma Class 8 Maths solutions which includes all the questions providing a clear understanding of important concepts by giving detailed explanations for the problems. Now, let us have a look at the concepts discussed in this chapter.


Division of Algebraic Expressions 

  • Polynomials and degree of a polynomial in two variables.

  • Division of a monomial by a monomial.

  • Division of polynomials in one variable.

  • Division of a polynomial by a monomial.

  • Division of a polynomial by a binomial by using the long division method.

  • Division of polynomials by using factorization

Steps To Be Followed To Divide a Polynomial By Another Polynomial By Long Division Method

  • Step 1: Arrange the terms of the divisor and dividend in descending order of the degrees.

  • Step 2: To obtain the first term of the quotient divide the first term of the dividend, by the first term of the division.

  • Step 3: Multiply all the terms of the divisible by the first term of the quotient and subtract the result obtained from the dividend to get the remainder.

  • Step 4: If a remainder is not equal to zero then consider it a new dividend and proceed as before.

  • Step 5: Continuing with the same process still a remainder equal to zero or a polynomial of degree less than the divisor is obtained.

FAQs on RD Sharma Class 8 Solutions Chapter 8 - Division of Algebraic Expressions (Ex 8.6) Exercise 8.6

1. How many types of algebraic expressions are there and what are they?

An algebraic expression can have one or more than one term based upon the number of terms as an expression.

They can be classified as follows:

  • Monomial 

  • Binomial 

  • Trinomial

  • Quadrinomial

  • Polynomial 

Monomial has only one term. Binomial has two terms. Trinomial has three terms Quadrinomial has four terms. Polynomial is an algebraic expression containing one or more terms hence Monomials, Binomials, Trinomials and Quadrinomial are all Polynomial

2. What are algebraic expressions?

A combination of constants and variables or variables with themselves or with other variables, connected by the science of some or all of the four fundamental mathematical operations addition, subtraction, multiplication, and division is called an Algebraic expression. An algebraic expression contains terms, factors, Coefficient, constant term, like, and unlike.

In real life, algebra can be correlated to a universally handy device or a magic wan, that can help to organize regular issues of life. Whenever life throws a maths problem at you, for example when you have to solve an equation or work out a geometrical problem, algebra is usually the best way to attack it.

3. What is the difference between the long division and short division method of algebraic expression?

An long division the steps are divide, multiply, subtract, bring down -- divide the divisor into the first part of the dividend (or the current result of having previously "brought down") and write that part of the quotient above the line, multiply the part of the quotient you just found by the divisor, and write that product below, subtract the product from the number above it, and bring down the next digit of the dividend.

In short division, you do the multiplication and subtraction steps mentally (or with a calculator, or on scratch paper) and write the difference next to the next digit instead of writing the difference below and bringing down the next digit to its level. The calculations involved are the same.

4. How are RD Sharma solutions of 8th standard useful for the students?

A.RD Sharma solutions of 8th standard algebraic expressions are very useful. Solutions provide a detailed description regarding the division of algebraic expressions. The solutions are provided by a step-by-step method which is very easy to understand and the solutions make the topic very clear. Chapter 8- Division of Algebraic Expressions contains six exercises and the RD Sharma Solutions present on this page provide solutions to the questions present in each exercise.