EduSahara™ Assignment
Name : Division of Polynomials
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The quotient when
3
r
is divided by
8
is
(i)
5
8
r
(ii)
3
8
r
(iii)
1
8
r
(iv)
1
2
r
(v)
3
10
r
Question
2
2.
The quotient when
5
c
2
is divided by
(
c
−
2
)
is
(i)
(
7
c
+
10
)
(ii)
(
5
c
+
10
)
(iii)
(
2
c
+
10
)
(iv)
(
4
c
+
10
)
(v)
(
6
c
+
10
)
Question
3
3.
The quotient when
(
−
5
a
−
1
)
is divided by
(
a
+
2
)
is
(i)
(
−
5
)
(ii)
(
−
7
)
(iii)
(
−
4
)
(iv)
(
−
6
)
(v)
(
−
3
)
Question
4
4.
The quotient when
(
−
7
r
2
+
9
r
−
2
)
is divided by
(
r
−
1
)
is
(i)
(
−
7
r
+
2
)
(ii)
(
−
10
r
+
2
)
(iii)
(
−
4
r
+
2
)
(iv)
(
−
6
r
+
2
)
(v)
(
−
8
r
+
2
)
Question
5
5.
The quotient when
(
6
n
2
−
3
n
)
is divided by
(
n
+
5
)
is
(i)
(
6
n
−
33
)
(ii)
(
8
n
−
33
)
(iii)
(
4
n
−
33
)
(iv)
(
7
n
−
33
)
(v)
(
5
n
−
33
)
Question
6
6.
The quotient when
(
8
c
3
+
7
c
+
5
)
is divided by
(
c
+
8
)
is
(i)
(
7
c
2
−
64
c
+
519
)
(ii)
(
9
c
2
−
64
c
+
519
)
(iii)
(
11
c
2
−
64
c
+
519
)
(iv)
(
5
c
2
−
64
c
+
519
)
(v)
(
8
c
2
−
64
c
+
519
)
Question
7
7.
The quotient when
(
9
y
4
−
8
y
3
+
9
y
2
+
3
y
+
8
)
is divided by
(
y
−
4
)
is
(i)
(
9
y
3
+
28
y
2
+
121
y
+
487
)
(ii)
(
10
y
3
+
28
y
2
+
121
y
+
487
)
(iii)
(
6
y
3
+
28
y
2
+
121
y
+
487
)
(iv)
(
12
y
3
+
28
y
2
+
121
y
+
487
)
(v)
(
8
y
3
+
28
y
2
+
121
y
+
487
)
Question
8
8.
The quotient when
(
5
q
5
+
2
q
4
−
5
q
3
−
9
q
2
−
5
q
−
8
)
is divided by
(
q
+
6
)
is
(i)
(
2
q
4
−
28
q
3
+
163
q
2
−
987
q
+
5917
)
(ii)
(
4
q
4
−
28
q
3
+
163
q
2
−
987
q
+
5917
)
(iii)
(
8
q
4
−
28
q
3
+
163
q
2
−
987
q
+
5917
)
(iv)
(
6
q
4
−
28
q
3
+
163
q
2
−
987
q
+
5917
)
(v)
(
5
q
4
−
28
q
3
+
163
q
2
−
987
q
+
5917
)
Question
9
9.
The remainder when
(
−
5
a
)
is divided by
6
is
(i)
(
−
2
)
(ii)
2
(iii)
0
(iv)
1
(v)
(
−
1
)
Question
10
10.
The remainder when
7
a
2
is divided by
(
a
−
3
)
is
(i)
61
(ii)
65
(iii)
63
(iv)
64
(v)
62
Question
11
11.
The remainder when
(
6
b
−
6
)
is divided by
(
b
+
3
)
is
(i)
(
−
26
)
(ii)
(
−
23
)
(iii)
(
−
22
)
(iv)
(
−
24
)
(v)
(
−
25
)
Question
12
12.
The remainder when
(
−
u
2
+
9
u
)
is divided by
(
u
+
6
)
is
(i)
(
−
87
)
(ii)
(
−
90
)
(iii)
(
−
91
)
(iv)
(
−
89
)
(v)
(
−
93
)
Question
13
13.
The remainder when
(
−
4
i
2
+
2
i
+
1
)
is divided by
(
i
+
2
)
is
(i)
(
−
18
)
(ii)
(
−
22
)
(iii)
(
−
19
)
(iv)
(
−
16
)
(v)
(
−
20
)
Question
14
14.
The remainder when
(
p
2
+
2
p
−
9
)
is divided by
(
p
−
1
)
is
(i)
(
−
6
)
(ii)
(
−
5
)
(iii)
(
−
4
)
(iv)
(
−
7
)
(v)
(
−
9
)
Question
15
15.
The remainder when
(
−
7
j
4
+
6
j
3
−
8
j
2
−
3
j
+
5
)
is divided by
(
j
2
+
3
j
−
10
)
is
(i)
(
744
j
−
1585
)
(ii)
(
747
j
−
1585
)
(iii)
(
742
j
−
1585
)
(iv)
(
745
j
−
1585
)
(v)
(
743
j
−
1585
)
Question
16
16.
The remainder when
(
−
3
n
4
−
2
n
2
+
9
n
−
2
)
is divided by
(
n
2
+
10
n
+
9
)
is
(i)
(
2486
n
+
2473
)
(ii)
(
2488
n
+
2473
)
(iii)
(
2489
n
+
2473
)
(iv)
(
2490
n
+
2473
)
(v)
(
2491
n
+
2473
)
Question
17
17.
(
9
x
3
+
6
x
2
−
9
x
−
6
)
÷
(
3
x
2
+
5
x
+
2
)
=
(i)
(
2
x
−
3
)
(ii)
(
4
x
−
3
)
(iii)
(
3
x
+
3
)
(iv)
(
−
3
x
−
3
)
(v)
(
3
x
−
3
)
Question
18
18.
(
4
x
4
−
2
x
3
−
28
x
2
+
38
x
−
12
)
÷
(
2
x
3
−
14
x
+
12
)
=
(i)
(
2
x
−
1
)
(ii)
(
2
x
+
1
)
(iii)
(
−
2
x
−
1
)
(iv)
(
x
−
1
)
(v)
(
3
x
−
1
)
Question
19
19.
(
36
x
5
+
72
x
4
−
117
x
3
−
234
x
2
+
81
x
+
162
)
divided by
(
6
x
3
+
9
x
2
−
15
x
−
18
)
=
(i)
(
6
x
2
+
4
x
−
9
)
(ii)
(
6
x
2
+
3
x
+
9
)
(iii)
(
6
x
2
+
2
x
−
9
)
(iv)
(
6
x
2
+
3
x
−
9
)
(v)
(
6
x
2
−
3
x
−
9
)
Question
20
20.
(
36
x
2
y
3
+
216
x
2
y
2
)
÷
6
x
y
=
(i)
(
6
x
2
y
4
+
36
x
y
)
(ii)
(
6
x
y
2
+
36
x
y
)
(iii)
(
36
x
y
2
z
+
6
x
y
2
)
(iv)
(
6
x
y
2
+
36
y
2
)
(v)
(
6
x
2
y
3
+
36
x
y
)
Question
21
21.
(
4
x
3
y
3
z
3
+
80
x
3
y
3
z
2
+
20
x
3
y
2
z
3
)
÷
2
x
y
z
=
(i)
(
2
x
2
y
2
z
2
+
40
x
2
y
2
z
+
10
x
2
y
z
2
)
(ii)
(
2
x
3
y
4
z
2
+
40
x
2
y
2
z
+
10
x
2
y
z
2
)
(iii)
(
2
x
3
y
3
z
2
+
40
x
2
y
2
z
+
10
x
2
y
z
2
)
(iv)
(
2
x
2
y
2
z
2
+
10
x
2
y
z
2
+
40
x
y
3
z
)
(v)
(
40
x
2
y
3
z
2
+
2
x
2
y
2
z
2
+
10
x
2
y
z
2
)
Question
22
22.
(
16
x
4
+
8
x
3
)
÷
4
x
2
(i)
(
3
x
2
+
2
x
)
(ii)
(
−
4
x
2
+
2
x
)
(iii)
(
4
x
2
+
3
x
)
(iv)
(
4
x
2
−
2
x
)
(v)
(
4
x
2
+
2
x
)
Question
23
23.
(
20
x
4
+
25
x
3
+
5
x
2
)
÷
(
4
x
2
+
x
)
(i)
(
5
x
2
+
5
x
)
(ii)
(
5
x
2
−
5
x
)
(iii)
(
−
5
x
2
+
5
x
)
(iv)
(
4
x
2
+
5
x
)
(v)
(
5
x
2
+
6
x
)
Question
24
24.
(
18
x
4
−
75
x
3
+
54
x
2
+
48
x
)
÷
(
9
x
2
−
42
x
+
48
)
(i)
(
2
x
2
+
2
x
)
(ii)
(
2
x
2
−
x
)
(iii)
2
x
2
(iv)
(
2
x
2
+
x
)
(v)
(
−
2
x
2
+
x
)
Question
25
25.
Find the remainder when
(
2
x
2
+
20
x
+
48
)
is divided by
(
2
x
−
7
)
(i)
287
2
(ii)
283
2
(iii)
285
2
(iv)
143
(v)
569
4
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (i)
5) (i)
6) (v)
7) (i)
8) (v)
9) (iii)
10) (iii)
11) (iv)
12) (ii)
13) (iii)
14) (i)
15) (i)
16) (iii)
17) (v)
18) (i)
19) (iv)
20) (ii)
21) (i)
22) (v)
23) (i)
24) (iv)
25) (iii)
