EduSahara™ Assignment
Name : Polynomial Division
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The quotient when
4
d
is divided by
(
−
3
)
is
(i)
(
−
6
5
d
)
(ii)
(
−
2
3
d
)
(iii)
(
−
4
3
d
)
(iv)
(
−
2
d
)
Question
2
2.
The quotient when
a
2
is divided by
(
a
−
4
)
is
(i)
4
(ii)
(
2
a
+
4
)
(iii)
(
a
+
4
)
(iv)
(
−
2
a
+
4
)
(v)
(
4
a
+
4
)
Question
3
3.
The quotient when
(
−
6
x
−
2
)
is divided by
(
x
−
7
)
is
(i)
(
−
3
)
(ii)
(
−
5
)
(iii)
(
−
6
)
(iv)
(
−
7
)
(v)
(
−
9
)
Question
4
4.
The quotient when
(
9
z
2
+
9
z
−
4
)
is divided by
(
z
−
4
)
is
(i)
(
8
z
+
45
)
(ii)
(
9
z
+
45
)
(iii)
(
10
z
+
45
)
(iv)
(
12
z
+
45
)
(v)
(
7
z
+
45
)
Question
5
5.
The quotient when
(
3
u
2
−
u
)
is divided by
(
u
+
5
)
is
(i)
(
u
−
16
)
(ii)
(
2
u
−
16
)
(iii)
(
4
u
−
16
)
(iv)
(
5
u
−
16
)
(v)
(
3
u
−
16
)
Question
6
6.
The quotient when
(
−
6
i
3
+
7
i
2
−
6
)
is divided by
(
i
2
−
9
i
+
8
)
is
(i)
(
−
4
i
−
47
)
(ii)
(
−
8
i
−
47
)
(iii)
(
−
6
i
−
47
)
(iv)
(
−
7
i
−
47
)
(v)
(
−
5
i
−
47
)
Question
7
7.
The quotient when
(
c
4
−
7
c
3
+
5
c
2
+
2
c
−
2
)
is divided by
(
c
2
+
c
−
20
)
is
(i)
(
c
2
−
8
c
+
33
)
(ii)
(
2
c
2
−
8
c
+
33
)
(iii)
(
3
c
2
−
8
c
+
33
)
(iv)
(
−
8
c
+
33
)
(v)
(
−
2
c
2
−
8
c
+
33
)
Question
8
8.
The quotient when
(
s
5
−
7
s
4
+
3
s
3
+
6
s
2
−
6
s
−
8
)
is divided by
(
s
−
9
)
is
(i)
(
2
s
3
+
21
s
2
+
195
s
+
1749
)
(ii)
(
3
s
4
+
2
s
3
+
21
s
2
+
195
s
+
1749
)
(iii)
(
s
4
+
2
s
3
+
21
s
2
+
195
s
+
1749
)
(iv)
(
2
s
4
+
2
s
3
+
21
s
2
+
195
s
+
1749
)
(v)
(
−
s
4
+
2
s
3
+
21
s
2
+
195
s
+
1749
)
Question
9
9.
The remainder when
(
−
2
f
)
is divided by
(
−
2
)
is
(i)
(
−
2
)
(ii)
3
(iii)
1
(iv)
0
(v)
(
−
1
)
Question
10
10.
The remainder when
5
q
2
is divided by
(
q
+
6
)
is
(i)
179
(ii)
181
(iii)
177
(iv)
180
(v)
182
Question
11
11.
The remainder when
(
9
z
−
8
)
is divided by
(
z
−
9
)
is
(i)
71
(ii)
76
(iii)
72
(iv)
73
(v)
74
Question
12
12.
The remainder when
(
4
a
2
−
2
a
)
is divided by
(
a
−
2
)
is
(i)
11
(ii)
14
(iii)
12
(iv)
13
(v)
10
Question
13
13.
The remainder when
(
−
y
2
−
9
y
−
8
)
is divided by
(
y
−
2
)
is
(i)
(
−
30
)
(ii)
(
−
31
)
(iii)
(
−
33
)
(iv)
(
−
29
)
(v)
(
−
28
)
Question
14
14.
The remainder when
(
4
k
2
+
4
k
−
3
)
is divided by
(
k
−
3
)
is
(i)
45
(ii)
42
(iii)
46
(iv)
44
(v)
47
Question
15
15.
The remainder when
(
−
2
w
4
−
6
w
3
−
7
w
2
+
9
w
+
8
)
is divided by
(
w
2
+
2
w
−
3
)
is
(i)
(
20
w
−
19
)
(ii)
(
22
w
−
19
)
(iii)
(
19
w
−
19
)
(iv)
(
21
w
−
19
)
(v)
(
23
w
−
19
)
Question
16
16.
The remainder when
(
7
n
4
+
n
3
+
5
n
+
6
)
is divided by
(
n
+
3
)
is
(i)
532
(ii)
529
(iii)
530
(iv)
531
(v)
534
Question
17
17.
(
2
x
3
+
3
x
2
−
1
)
÷
(
2
x
2
+
x
−
1
)
=
(i)
(
2
x
+
1
)
(ii)
(
−
x
+
1
)
(iii)
1
(iv)
(
x
+
1
)
(v)
(
x
−
1
)
Question
18
18.
(
4
x
2
y
4
+
8
x
2
y
3
)
÷
2
x
y
2
=
(i)
(
2
x
2
y
3
+
4
x
y
)
(ii)
(
4
x
y
2
z
+
2
x
y
2
)
(iii)
(
2
x
2
y
4
+
4
x
y
)
(iv)
(
2
x
y
2
+
4
x
y
)
(v)
(
2
x
y
2
+
4
y
2
)
Question
19
19.
(
4
x
4
y
3
z
2
+
28
x
3
y
2
z
3
+
168
x
3
y
2
z
2
)
÷
2
x
2
y
z
=
(i)
(
2
x
3
y
4
z
+
14
x
y
z
2
+
84
x
y
z
)
(ii)
(
2
x
2
y
2
z
+
84
x
y
z
+
14
y
2
z
2
)
(iii)
(
2
x
3
y
3
z
+
14
x
y
z
2
+
84
x
y
z
)
(iv)
(
2
x
2
y
2
z
+
14
x
y
2
z
3
+
84
x
y
z
)
(v)
(
2
x
2
y
2
z
+
14
x
y
z
2
+
84
x
y
z
)
Question
20
20.
(
2
x
4
+
2
x
3
)
÷
2
x
2
(i)
(
−
x
2
+
x
)
(ii)
(
x
2
−
x
)
(iii)
(
x
2
+
x
)
(iv)
x
(v)
(
x
2
+
2
x
)
Question
21
21.
(
2
x
4
+
13
x
3
+
15
x
2
)
÷
(
2
x
2
+
3
x
)
(i)
(
−
x
2
+
5
x
)
(ii)
(
x
2
−
5
x
)
(iii)
5
x
(iv)
(
x
2
+
5
x
)
(v)
(
x
2
+
6
x
)
Question
22
22.
(
6
x
4
+
21
x
3
−
72
x
2
−
135
x
)
÷
(
6
x
2
−
9
x
−
27
)
(i)
(
−
x
2
+
5
x
)
(ii)
(
x
2
+
5
x
)
(iii)
(
x
2
+
6
x
)
(iv)
(
x
2
−
5
x
)
(v)
(
x
2
+
4
x
)
Question
23
23.
Find the remainder when
(
6
x
2
+
6
x
−
12
)
is divided by
(
2
x
+
8
)
(i)
62
(ii)
59
(iii)
61
(iv)
60
(v)
57
Assignment Key
1) (iii)
2) (iii)
3) (iii)
4) (ii)
5) (v)
6) (iii)
7) (i)
8) (iii)
9) (iv)
10) (iv)
11) (iv)
12) (iii)
13) (i)
14) (i)
15) (iv)
16) (iv)
17) (iv)
18) (iv)
19) (v)
20) (iii)
21) (iv)
22) (ii)
23) (iv)
