Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Division of Algebraic Expressions - Exercise 8.4
Division of Algebraic Expressions - Exercise 8.4 | Mathematics (Maths) Class 8 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Question:18
Divide 5x
3
- 15x
2
+ 25x by 5x.
Solution:
Question:19
Divide 4z
3
+ 6z
2
- z by -
1
2
z.
Solution:
Question:20
Divide 9x
2
y - 6xy + 12xy
2
by -
3
2
xy.
Solution:
Question:21
Divide 3x
3
y
2
+ 2x
2
y + 15xy by 3xy.
Solution:
Question:22
Divide x
2
+ 7x + 12 by x + 4.
Solution:
Question:23
Divide 4y
2
+ 3y +
1
2
by 2y + 1.
Solution:
Page 2
Question:18
Divide 5x
3
- 15x
2
+ 25x by 5x.
Solution:
Question:19
Divide 4z
3
+ 6z
2
- z by -
1
2
z.
Solution:
Question:20
Divide 9x
2
y - 6xy + 12xy
2
by -
3
2
xy.
Solution:
Question:21
Divide 3x
3
y
2
+ 2x
2
y + 15xy by 3xy.
Solution:
Question:22
Divide x
2
+ 7x + 12 by x + 4.
Solution:
Question:23
Divide 4y
2
+ 3y +
1
2
by 2y + 1.
Solution:
Question:24
Divide 3x
3
+ 4x
2
+ 5x + 18 by x + 2.
Solution:
Question:25
Divide 14x
2
- 53x + 45 by 7x - 9.
Solution:
Question:26
Divide -21 + 71x - 31x
2
- 24x
3
by 3 - 8x.
Solution:
Question:27
Divide 3y
4
- 3y
3
- 4y
2
- 4y by y
2
- 2y.
Solution:
Question:28
Divide 2y
5
+ 10y
4
+ 6y
3
+ y
2
+ 5y + 3 by 2y
3
+ 1.
Solution:
Question:29
Divide x
4
- 2x
3
+ 2x
2
+ x + 4 by x
2
+ x + 1.
Solution:
Question:30
Divide m
3
- 14m
2
+ 37m - 26 by m
2
- 12m +13.
Solution:
Page 3
Question:18
Divide 5x
3
- 15x
2
+ 25x by 5x.
Solution:
Question:19
Divide 4z
3
+ 6z
2
- z by -
1
2
z.
Solution:
Question:20
Divide 9x
2
y - 6xy + 12xy
2
by -
3
2
xy.
Solution:
Question:21
Divide 3x
3
y
2
+ 2x
2
y + 15xy by 3xy.
Solution:
Question:22
Divide x
2
+ 7x + 12 by x + 4.
Solution:
Question:23
Divide 4y
2
+ 3y +
1
2
by 2y + 1.
Solution:
Question:24
Divide 3x
3
+ 4x
2
+ 5x + 18 by x + 2.
Solution:
Question:25
Divide 14x
2
- 53x + 45 by 7x - 9.
Solution:
Question:26
Divide -21 + 71x - 31x
2
- 24x
3
by 3 - 8x.
Solution:
Question:27
Divide 3y
4
- 3y
3
- 4y
2
- 4y by y
2
- 2y.
Solution:
Question:28
Divide 2y
5
+ 10y
4
+ 6y
3
+ y
2
+ 5y + 3 by 2y
3
+ 1.
Solution:
Question:29
Divide x
4
- 2x
3
+ 2x
2
+ x + 4 by x
2
+ x + 1.
Solution:
Question:30
Divide m
3
- 14m
2
+ 37m - 26 by m
2
- 12m +13.
Solution:
Question:31
Divide x
4
+ x
2
+ 1 by x
2
+ x + 1.
Solution:
Question:32
Divide x
5
+ x
4
+ x
3
+ x
2
+ x + 1 by x
3
+ 1.
Solution:
Question:33
Divide 14x
3
- 5x
2
+ 9x - 1 by 2x - 1 and find the quotient and remainder
Solution:
Quotient = 7x
2
+ x + 5Remainder = 4
Question:34
Divide 6x
3
- x
2
- 10x - 3 by 2x - 3 and find the quotient and remainder.
Solution:
Quotient = 3x
2
+ 4x + 1 Remainder = 0
Question:35
Divide 6x
3
+ 11x
2
- 39x - 65 by 3x
2
+ 13x + 13 and find the quotient and remainder.
Solution:
Quotient = 2x -5Remainder = 0
Question:36
Divide 30x
4
+ 11x
3
- 82x
2
- 12x + 48 by 3x
2
+ 2x - 4 and find the quotient and remainder.
Solution:
Quotient = 10x
2
-3x -12Remainder = 0
Page 4
Question:18
Divide 5x
3
- 15x
2
+ 25x by 5x.
Solution:
Question:19
Divide 4z
3
+ 6z
2
- z by -
1
2
z.
Solution:
Question:20
Divide 9x
2
y - 6xy + 12xy
2
by -
3
2
xy.
Solution:
Question:21
Divide 3x
3
y
2
+ 2x
2
y + 15xy by 3xy.
Solution:
Question:22
Divide x
2
+ 7x + 12 by x + 4.
Solution:
Question:23
Divide 4y
2
+ 3y +
1
2
by 2y + 1.
Solution:
Question:24
Divide 3x
3
+ 4x
2
+ 5x + 18 by x + 2.
Solution:
Question:25
Divide 14x
2
- 53x + 45 by 7x - 9.
Solution:
Question:26
Divide -21 + 71x - 31x
2
- 24x
3
by 3 - 8x.
Solution:
Question:27
Divide 3y
4
- 3y
3
- 4y
2
- 4y by y
2
- 2y.
Solution:
Question:28
Divide 2y
5
+ 10y
4
+ 6y
3
+ y
2
+ 5y + 3 by 2y
3
+ 1.
Solution:
Question:29
Divide x
4
- 2x
3
+ 2x
2
+ x + 4 by x
2
+ x + 1.
Solution:
Question:30
Divide m
3
- 14m
2
+ 37m - 26 by m
2
- 12m +13.
Solution:
Question:31
Divide x
4
+ x
2
+ 1 by x
2
+ x + 1.
Solution:
Question:32
Divide x
5
+ x
4
+ x
3
+ x
2
+ x + 1 by x
3
+ 1.
Solution:
Question:33
Divide 14x
3
- 5x
2
+ 9x - 1 by 2x - 1 and find the quotient and remainder
Solution:
Quotient = 7x
2
+ x + 5Remainder = 4
Question:34
Divide 6x
3
- x
2
- 10x - 3 by 2x - 3 and find the quotient and remainder.
Solution:
Quotient = 3x
2
+ 4x + 1 Remainder = 0
Question:35
Divide 6x
3
+ 11x
2
- 39x - 65 by 3x
2
+ 13x + 13 and find the quotient and remainder.
Solution:
Quotient = 2x -5Remainder = 0
Question:36
Divide 30x
4
+ 11x
3
- 82x
2
- 12x + 48 by 3x
2
+ 2x - 4 and find the quotient and remainder.
Solution:
Quotient = 10x
2
-3x -12Remainder = 0
Question:37
Divide 9x
4
- 4x
2
+ 4 by 3x
2
- 4x + 2 and find the quotient and remainder.
Solution:
?
Quotient = 3x
2
+ 4x + 2 and remainder = 0.
Question:38
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
Dividend Divisor
i 14x
2
+ 13x - 15 7x - 4
ii 15z
3
- 20z
2
+ 13z - 12 3z - 6
iii 6y
5
- 28y
3
+ 3y
2
+ 30y - 9 2y
2
- 6
iv 34x - 22x
3
- 12x
4
- 10x
2
- 75 3x + 7
v 15y
4
- 16y
3
+ 9y2 -
10
3
y + 6
3y - 2
vi 4y
3
+ 8y + 8y
2
+ 7 2y
2
- y + 1
vii 6y
5
+ 4y
4
+ 4y
3
+ 7y
2
+ 27y + 6 2y
3
+ 1
Solution:
i
Quotient = 2x + 3
Remainder = -
3
Divisor = 7x -
4
Divisor ×
Quotient + Remainder = (7x -
4) (2x + 3) -
?3
= 14x
2
+ 21x -
8x -
12 -
?3
= 14x
2
+ 13x -
15
= Dividend
Thus,
Divisor ×
Quotient + Remainder = Dividend
Hence verified.
ii
Quotient = 5z
2
+
10
3
z +11Remainder = 54Divisor = 3z -6Divisor × Quotient +Remainder = 3z -6 5z
2
+
10
3
z +11 +54 = 15z
3
+10z
2
+33z -30z
2
-
Hence verified.
( ) ( )
Page 5
Question:18
Divide 5x
3
- 15x
2
+ 25x by 5x.
Solution:
Question:19
Divide 4z
3
+ 6z
2
- z by -
1
2
z.
Solution:
Question:20
Divide 9x
2
y - 6xy + 12xy
2
by -
3
2
xy.
Solution:
Question:21
Divide 3x
3
y
2
+ 2x
2
y + 15xy by 3xy.
Solution:
Question:22
Divide x
2
+ 7x + 12 by x + 4.
Solution:
Question:23
Divide 4y
2
+ 3y +
1
2
by 2y + 1.
Solution:
Question:24
Divide 3x
3
+ 4x
2
+ 5x + 18 by x + 2.
Solution:
Question:25
Divide 14x
2
- 53x + 45 by 7x - 9.
Solution:
Question:26
Divide -21 + 71x - 31x
2
- 24x
3
by 3 - 8x.
Solution:
Question:27
Divide 3y
4
- 3y
3
- 4y
2
- 4y by y
2
- 2y.
Solution:
Question:28
Divide 2y
5
+ 10y
4
+ 6y
3
+ y
2
+ 5y + 3 by 2y
3
+ 1.
Solution:
Question:29
Divide x
4
- 2x
3
+ 2x
2
+ x + 4 by x
2
+ x + 1.
Solution:
Question:30
Divide m
3
- 14m
2
+ 37m - 26 by m
2
- 12m +13.
Solution:
Question:31
Divide x
4
+ x
2
+ 1 by x
2
+ x + 1.
Solution:
Question:32
Divide x
5
+ x
4
+ x
3
+ x
2
+ x + 1 by x
3
+ 1.
Solution:
Question:33
Divide 14x
3
- 5x
2
+ 9x - 1 by 2x - 1 and find the quotient and remainder
Solution:
Quotient = 7x
2
+ x + 5Remainder = 4
Question:34
Divide 6x
3
- x
2
- 10x - 3 by 2x - 3 and find the quotient and remainder.
Solution:
Quotient = 3x
2
+ 4x + 1 Remainder = 0
Question:35
Divide 6x
3
+ 11x
2
- 39x - 65 by 3x
2
+ 13x + 13 and find the quotient and remainder.
Solution:
Quotient = 2x -5Remainder = 0
Question:36
Divide 30x
4
+ 11x
3
- 82x
2
- 12x + 48 by 3x
2
+ 2x - 4 and find the quotient and remainder.
Solution:
Quotient = 10x
2
-3x -12Remainder = 0
Question:37
Divide 9x
4
- 4x
2
+ 4 by 3x
2
- 4x + 2 and find the quotient and remainder.
Solution:
?
Quotient = 3x
2
+ 4x + 2 and remainder = 0.
Question:38
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
Dividend Divisor
i 14x
2
+ 13x - 15 7x - 4
ii 15z
3
- 20z
2
+ 13z - 12 3z - 6
iii 6y
5
- 28y
3
+ 3y
2
+ 30y - 9 2y
2
- 6
iv 34x - 22x
3
- 12x
4
- 10x
2
- 75 3x + 7
v 15y
4
- 16y
3
+ 9y2 -
10
3
y + 6
3y - 2
vi 4y
3
+ 8y + 8y
2
+ 7 2y
2
- y + 1
vii 6y
5
+ 4y
4
+ 4y
3
+ 7y
2
+ 27y + 6 2y
3
+ 1
Solution:
i
Quotient = 2x + 3
Remainder = -
3
Divisor = 7x -
4
Divisor ×
Quotient + Remainder = (7x -
4) (2x + 3) -
?3
= 14x
2
+ 21x -
8x -
12 -
?3
= 14x
2
+ 13x -
15
= Dividend
Thus,
Divisor ×
Quotient + Remainder = Dividend
Hence verified.
ii
Quotient = 5z
2
+
10
3
z +11Remainder = 54Divisor = 3z -6Divisor × Quotient +Remainder = 3z -6 5z
2
+
10
3
z +11 +54 = 15z
3
+10z
2
+33z -30z
2
-
Hence verified.
( ) ( )
iii
Quotient = 3y
3
-5y +
3
2
Remainder = 0
Divisor = 2y
2
-
6
Divisor ×
Quotient + Remainder =
2y
2
-6 3y
3
-5y +
3
2
+0 = 6y
5
-10y
3
+3y
2
-18y
3
+30y -9 = 6y
5
-28 y
3
+3y
2
+30y -9
= Dividend
Thus, Divisor ×
Quotient + Remainder = Dividend
Hence verified.
iv
Quotient = -
4x
3
+ 2x
2
-
8x + 30
Remainder = -
285
Divisor = 3x + 7
Divisor ×
Quotient + Remainder = (3x + 7) (-
4x
3
+ 2x
2
-
8x + 30) -
285
= -
12x
4
+ 6x
3
-
24x
2
+ 90x -
28x
3
+ 14x
2
-
56x + 210 -
?285
= -
12x
4
-
22x
3
-
10x
2
+ 34x -
75
= Dividend
Thus,
Divisor ×
Quotient + Remainder = Dividend
Hence verified.
v
Quotient = 5y
3
-2y
2
+
5
3
y
( ) ( )
Read More
|
79 videos|408 docs|31 tests
|
Related Exams
About this Document
|
4.87/5 Rating |
|
Nov 21, 2024 Last updated |
Document Description: Division of Algebraic Expressions - Exercise 8.4 for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation.
The notes and questions for Division of Algebraic Expressions - Exercise 8.4 have been prepared according to the Class 8 exam syllabus. Information about Division of Algebraic Expressions - Exercise 8.4 covers topics
like and Division of Algebraic Expressions - Exercise 8.4 Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Division of Algebraic Expressions - Exercise 8.4.
Introduction of Division of Algebraic Expressions - Exercise 8.4 in English is available as part of our Mathematics (Maths) Class 8
for Class 8 & Division of Algebraic Expressions - Exercise 8.4 in Hindi for Mathematics (Maths) Class 8 course.
Download more important topics related with notes, lectures and mock test series for Class 8
Exam by signing up for free. Class 8: Division of Algebraic Expressions - Exercise 8.4 | Mathematics (Maths) Class 8
Description
Full syllabus notes, lecture & questions for Division of Algebraic Expressions - Exercise 8.4 | Mathematics (Maths) Class 8 - Class 8 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 8 | Best notes, free PDF download
Information about Division of Algebraic Expressions - Exercise 8.4
In this doc you can find the meaning of Division of Algebraic Expressions - Exercise 8.4 defined & explained in the simplest way possible. Besides explaining types of
Division of Algebraic Expressions - Exercise 8.4 theory, EduRev gives you an ample number of questions to practice Division of Algebraic Expressions - Exercise 8.4 tests, examples and also practice Class 8
tests
|
Explore Courses for Class 8 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Free
,past year papers
,practice quizzes
,Important questions
,Exam
,mock tests for examination
,study material
,Summary
,Division of Algebraic Expressions - Exercise 8.4 | Mathematics (Maths) Class 8
,Division of Algebraic Expressions - Exercise 8.4 | Mathematics (Maths) Class 8
,Viva Questions
,ppt
,MCQs
,Extra Questions
,Sample Paper
,shortcuts and tricks
,Division of Algebraic Expressions - Exercise 8.4 | Mathematics (Maths) Class 8
,Objective type Questions
,Previous Year Questions with Solutions
,video lectures
,Semester Notes
;
Additional Information about Division of Algebraic Expressions - Exercise 8.4 for Class 8 Preparation
Division of Algebraic Expressions - Exercise 8.4 Free PDF Download
The Division of Algebraic Expressions - Exercise 8.4 is an invaluable resource that delves deep into the core of the Class 8 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Division of Algebraic Expressions - Exercise 8.4 now and kickstart your journey towards success in the Class 8 exam.
Importance of Division of Algebraic Expressions - Exercise 8.4
The importance of Division of Algebraic Expressions - Exercise 8.4 cannot be overstated, especially for Class 8 aspirants.
This document holds the key to success in the Class 8 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Division of Algebraic Expressions - Exercise 8.4 Notes
Division of Algebraic Expressions - Exercise 8.4 Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Division of Algebraic Expressions - Exercise 8.4.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Division of Algebraic Expressions - Exercise 8.4 Notes on EduRev are your ultimate resource for success.
Division of Algebraic Expressions - Exercise 8.4 Class 8 Questions
The "Division of Algebraic Expressions - Exercise 8.4 Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Division of Algebraic Expressions - Exercise 8.4 on the App
Students of Class 8 can study Division of Algebraic Expressions - Exercise 8.4 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Division of Algebraic Expressions - Exercise 8.4,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Division of Algebraic Expressions - Exercise 8.4 is prepared as per the latest Class 8 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup