RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4

Other Exercises

Question 1.
5x3 – 15x2 + 25x by 5x
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 1

Question 2.
4z3 + 6z2-zby \(\frac { -1 }{ 2 }\) z
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 2

Question 3.
9x2y – 6xy + 12xy2 by \(\frac { -3 }{ 2 }\) xy
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 3
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 4

Question 4.
3x2y2 + 2x2y + 15xy by 3xy
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 5

Question 5.
x2 + 7x + 12 by x + 4
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 6

Question 6.
4y4 + 3y + \(\frac { -1 }{ 2 }\) by 2y + 1
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 7
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 8

Question 7.
3x3 + 4x2 + 5x + 18 by x + 2
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 9

Question 8.
14x2 – 53x + 45 by 7a – 9
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 10

Question 9.
-21 + 71x – 31x2 – 24ax3 by 3 – 8ax
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 11
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 12

Question 10.
3y4 – 3y3 – 4y2 – 4y by y2 – 2y
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 13

Question 11.
2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 1
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 14
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 15

Question 12.
x4 – 2x3 + 2x2 + x + 4 by x2 + x + 1
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 16

Question 13.
m3 – 14m2 + 37m – 26 by m2 – 12m + 13
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 17

Question 14.
x4 + x2 + 1 by x2 + x + 1
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 18
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 19

Question 15.
x5 + x4 + x3+x2 + x+ 1 by x3 + 1
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 20

Divide each of the following and find the quotient and remainder :

Question 16.
14x3 – 5x2 + 9x -1 by 2x – 1
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 21

Question 17.
6x3 – x2 – 10x – 3 by 2x – 3
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 22
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 23

Question 18.
6x3+ 11x2 – 39x – 65 by 3x2 + 13x + 13
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 24

Question 19.
30a4 + 11a3-82a2– 12a + 48 by 3a2 + 2a- 4
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 25

Question 20.
9x4 – 4x2 + 4 by 3x2 – 4x + 2
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 26

Question 21.
Verify division algorithm i.e., Dividend = Divisor * Quotient + Remainder, in each of the following. Also, write the quotient and remainder :
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 27
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 28
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 29
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 30
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 31
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 32
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 33

Question 22.
Divide 15y4 + 16y3 + \(\frac { 10 }{ 3 }\) y – 9y2 – 6 by 3y – 2
Write down the co-efficients of the terms in the quotient.
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 34
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 35

Question 23.
Using division of polynomials state whether.
(i) x + 6 is a factor of x2 – x – 42
(ii) 4x – 1 is a factor of 4x2 – 13x – 12
(iii) 2y – 5 is a factor of 4y4 – 10y3 – 10y2 + 30y -15
(iv) 3y + 5 is a factor of 6y5 + 15y + 16y + 4y+ 10y – 35
(v) z2 + 3 is a factor of z5– 9z
(vi) 2x2 – x + 3 is a factor of 60x5-x4 + 4x3 – 5x2 -x- 15
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 36
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 37
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 38
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 39
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 40
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 41

Question 24.
Find the value of ‘a’, if x + 2 is a factor of 4x4 + 2x3 – 3x2 + 8x + 5a.
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 42
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 43

Question 25.
What must be added to x4 + 2x3 — 2x2 + x – 1 so that the resulting polynomial is exactly divisible by x2 + 2x – 3.
Solution:
RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 44

Hope given RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.