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Chapters
2: Powers
3: Squares and Square Roots
4: Cubes and Cube Roots
5: Playing with Numbers
6: Algebraic Expressions and Identities
7: Factorization
▶ 8: Division of Algebraic Expressions
9: Linear Equation in One Variable
10: Direct and Inverse Variations
11: Time and Work
12: Percentage
13: Proft, Loss, Discount and Value Added Tax (VAT)
14: Compound Interest
15: Understanding Shapes-I (Polygons)
16: Understanding Shapes-II (Quadrilaterals)
17: Understanding Shapes-III (Special Types of Quadrilaterals)
18: Practical Geometry (Constructions)
19: Visualising Shapes
20: Mensuration - I (Area of a Trapezium and a Polygon)
21: Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
22: Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
23: Data Handling-I (Classification and Tabulation of Data)
24: Data Handling-II (Graphical Representation of Data as Histograms)
25: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
26: Data Handling-IV (Probability)
27: Introduction to Graphs
![RD Sharma solutions for Mathematics [English] Class 8 chapter 8 - Division of Algebraic Expressions - Shaalaa.com](/images/mathematics-english-class-8_6:d71f9951bde04f9981d965449678818b.jpg "RD Sharma solutions for Mathematics [English] Class 8 chapter 8 - Division of Algebraic Expressions")
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Solutions for Chapter 8: Division of Algebraic Expressions
Below listed, you can find solutions for Chapter 8 of CBSE RD Sharma for Mathematics [English] Class 8.
RD Sharma solutions for Mathematics [English] Class 8 8 Division of Algebraic Expressions Exercise 8.1 [Page 2]
Write the degree of each of the following polynomials.
2x2 + 5x2 − 7
Write the degree of each of the following polynomials.
5x2 − 3x + 2
Write the degree of each of the following polynomials.
2x + x2 − 8
Write the degree of each of the following polynomials.
Write the degree of each of the following polynomials.
Write the degree of each of the following polynomials.
Write the degree of each of the following polynomials.
Which of the following expressions are not polynomials?
x2 + 2x−2
Which of the following expressions are not polynomials?
Which of the following expressions are not polynomials?
Which of the following expressions are not polynomials?
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
x2 + 3 + 6x + 5x4
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Write each of the following polynomials in the standard form. Also, write their degree.
Write each of the following polynomials in the standard form. Also, write their degree.
RD Sharma solutions for Mathematics [English] Class 8 8 Division of Algebraic Expressions Exercise 8.2 [Page 4]
Divide 6x3y2z2 by 3x2yz.
Divide 15m2n3 by 5m2n2.
Divide 24a3b3 by −8ab.
Divide −21abc2 by 7abc.
Divide 72xyz2 by −9xz.
Divide −72a4b5c8 by −9a2b2c3.
Simplify:\[\frac{16 m^3 y^2}{4 m^2 y}\]
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
RD Sharma solutions for Mathematics [English] Class 8 8 Division of Algebraic Expressions Exercise 8.3 [Page 6]
Divide x + 2x2 + 3x4 − x5 by 2x.
Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]
Divide −4a3 + 4a2 + a by 2a.
Divide\[- x^6 + 2 x^4 + 4 x^3 + 2 x^2\ \text{by} \sqrt{2} x^2\]
Divide 5z3 − 6z2 + 7z by 2z.
Divide\[\sqrt{3} a^4 + 2\sqrt{3} a^3 + 3 a^2 - 6a\ \text{by}\ 3a\]
RD Sharma solutions for Mathematics [English] Class 8 8 Division of Algebraic Expressions Exercise 8.4 [Pages 11 - 12]
Divide 5x3 − 15x2 + 25x by 5x.
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
Divide 3x3y2 + 2x2y + 15xy by 3xy.
Divide x2 + 7x + 12 by x + 4.
Divide 4y2 + 3y +\[\frac{1}{2}\] by 2y + 1.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide 14x2 − 53x + 45 by 7x − 9.
Divide −21 + 71x − 31x2 − 24x3 by 3 − 8x.
Divide 3y4 − 3y3 − 4y2 − 4y by y2 − 2y.
Divide 2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 1.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Divide m3 − 14m2 + 37m − 26 by m2 − 12m +13.
Divide x4 + x2 + 1 by x2 + x + 1.
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 and find the quotient and remainder
Divide 6x3 − x2 − 10x − 3 by 2x − 3 and find the quotient and remainder.
Divide 6x3 + 11x2 − 39x − 65 by 3x2 + 13x + 13 and find the quotient and remainder.
Divide 30x4 + 11x3 − 82x2 − 12x + 48 by 3x2 + 2x − 4 and find the quotient and remainder.
Divide 9x4 − 4x2 + 4 by 3x2 − 4x + 2 and find the quotient and remainder.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 14x2 + 13x − 15 | 7x − 4 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15z3 − 20z2 + 13z − 12 | 3z − 6 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 − 28y3 + 3y2 + 30y − 9 | 2y2 − 6 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
Using division of polynomials, state whether
4x − 1 is a factor of 4x2 − 13x − 12
Using division of polynomials, state whether
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
Using division of polynomials, state whether
z2 + 3 is a factor of z5 − 9z
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
What must be added to x4 + 2x3 − 2x2 + x − 1 , so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
RD Sharma solutions for Mathematics [English] Class 8 8 Division of Algebraic Expressions Exercise 8.5 [Page 15]
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
3x2 + 4x + 5, x − 2
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
x4 − x3 + 5x, x − 1
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Find whether the first polynomial is a factor of the second.
x + 1, 2x2 + 5x + 4
Find whether the first polynomial is a factor of the second.
y − 2, 3y3 + 5y2 + 5y + 2
Find whether the first polynomial is a factor of the second.
4x2 − 5, 4x4 + 7x2 + 15
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Find whether the first polynomial is a factor of the second.
2a − 3, 10a2 − 9a − 5
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
RD Sharma solutions for Mathematics [English] Class 8 8 Division of Algebraic Expressions Exercise 8.6 [Page 17]
Divide:
x2 − 5x + 6 by x − 3
Divide:
ax2 − ay2 by ax + ay
Divide:
x4 − y4 by x2 − y2
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Divide:
Solutions for 8: Division of Algebraic Expressions
RD Sharma solutions for Mathematics [English] Class 8 chapter 8 - Division of Algebraic Expressions
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 8 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. RD Sharma solutions for Mathematics Mathematics [English] Class 8 CBSE 8 (Division of Algebraic Expressions) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics [English] Class 8 chapter 8 Division of Algebraic Expressions are Factors and Common Factors, Factorisation by Taking Out Common Factors, Factorising Algebraic Expressions, Factorisation by Regrouping Terms, Factorisation Using Identities, Factors of the Form (x + a)(x + b), Dividing a Monomial by a Monomial, Dividing a Polynomial by a Monomial, Dividing a Polynomial by a Polynomial, Concept of Find the Error.
Using RD Sharma Mathematics [English] Class 8 solutions Division of Algebraic Expressions exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in RD Sharma Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 8 students prefer RD Sharma Textbook Solutions to score more in exams.
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