EduSahara™ Assignment
Name : Division of Polynomials
Chapter : Factorisation
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The quotient when
(
−
2
q
)
is divided by
2
is
(i)
(
−
2
q
)
(ii)
(
−
q
)
(iii)
2
q
(iv)
0
(v)
(
−
3
q
)
Question
2
2.
The quotient when
3
s
2
is divided by
(
s
+
5
)
is
(i)
(
6
s
−
15
)
(ii)
(
4
s
−
15
)
(iii)
(
3
s
−
15
)
(iv)
(
−
15
)
(v)
(
2
s
−
15
)
Question
3
3.
The quotient when
(
v
−
5
)
is divided by
(
v
−
2
)
is
(i)
(
−
1
)
(ii)
0
(iii)
4
(iv)
2
(v)
1
Question
4
4.
The quotient when
(
3
q
2
−
2
q
+
8
)
is divided by
(
q
+
2
)
is
(i)
(
5
q
−
8
)
(ii)
(
2
q
−
8
)
(iii)
(
3
q
−
8
)
(iv)
(
4
q
−
8
)
(v)
(
q
−
8
)
Question
5
5.
The quotient when
(
5
t
2
+
3
t
)
is divided by
(
t
+
6
)
is
(i)
(
4
t
−
27
)
(ii)
(
6
t
−
27
)
(iii)
(
2
t
−
27
)
(iv)
(
5
t
−
27
)
(v)
(
7
t
−
27
)
Question
6
6.
The quotient when
(
8
b
3
+
9
b
2
+
3
b
)
is divided by
(
b
−
8
)
is
(i)
(
9
b
2
+
73
b
+
587
)
(ii)
(
8
b
2
+
73
b
+
587
)
(iii)
(
11
b
2
+
73
b
+
587
)
(iv)
(
6
b
2
+
73
b
+
587
)
(v)
(
7
b
2
+
73
b
+
587
)
Question
7
7.
The quotient when
(
4
w
4
+
w
3
+
9
w
2
−
5
w
−
9
)
is divided by
(
w
2
−
14
w
+
48
)
is
(i)
(
2
w
2
+
57
w
+
615
)
(ii)
(
3
w
2
+
57
w
+
615
)
(iii)
(
4
w
2
+
57
w
+
615
)
(iv)
(
6
w
2
+
57
w
+
615
)
(v)
(
5
w
2
+
57
w
+
615
)
Question
8
8.
The quotient when
(
−
2
r
5
+
8
r
4
+
6
r
3
−
8
r
2
−
8
r
−
9
)
is divided by
(
r
−
1
)
is
(i)
(
−
4
r
4
+
6
r
3
+
12
r
2
+
4
r
−
4
)
(ii)
(
−
3
r
4
+
6
r
3
+
12
r
2
+
4
r
−
4
)
(iii)
(
−
2
r
4
+
6
r
3
+
12
r
2
+
4
r
−
4
)
(iv)
(
r
4
+
6
r
3
+
12
r
2
+
4
r
−
4
)
(v)
(
−
r
4
+
6
r
3
+
12
r
2
+
4
r
−
4
)
Question
9
9.
The quotient of
(
4
a
2
+
4
a
b
+
b
2
)
÷
(
−
2
a
−
b
)
is
(i)
(
−
a
−
b
)
(ii)
(
−
2
a
−
b
)
(iii)
(
−
2
a
−
3
b
)
(iv)
(
−
2
a
+
b
)
(v)
(
−
3
a
−
b
)
Question
10
10.
The quotient of
(
9
a
2
−
24
a
b
+
16
b
2
)
÷
(
−
3
a
+
4
b
)
is
(i)
(
−
3
a
+
6
b
)
(ii)
(
−
4
a
+
4
b
)
(iii)
(
−
3
a
+
4
b
)
(iv)
(
−
3
a
+
2
b
)
(v)
(
−
2
a
+
4
b
)
Question
11
11.
The quotient of
(
9
a
2
−
4
b
2
)
÷
(
−
3
a
−
2
b
)
is
(i)
(
−
3
a
+
2
b
)
(ii)
(
−
3
a
+
5
b
)
(iii)
(
−
4
a
+
2
b
)
(iv)
(
−
2
a
+
2
b
)
(v)
(
−
3
a
−
b
)
Question
12
12.
The quotient of
(
27
a
3
+
135
a
2
b
+
225
a
b
2
+
125
b
3
)
÷
(
3
a
+
5
b
)
is
(i)
(
8
a
2
+
30
a
b
+
25
b
2
)
(ii)
(
10
a
2
+
30
a
b
+
25
b
2
)
(iii)
(
9
a
2
+
30
a
b
+
25
b
2
)
(iv)
(
9
a
2
+
27
a
b
+
25
b
2
)
(v)
(
9
a
2
+
32
a
b
+
25
b
2
)
Question
13
13.
The quotient of
(
−
27
a
3
+
81
a
2
b
−
81
a
b
2
+
27
b
3
)
÷
(
−
3
a
+
3
b
)
is
(i)
(
9
a
2
−
15
a
b
+
9
b
2
)
(ii)
(
8
a
2
−
18
a
b
+
9
b
2
)
(iii)
(
9
a
2
−
21
a
b
+
9
b
2
)
(iv)
(
9
a
2
−
18
a
b
+
9
b
2
)
(v)
(
10
a
2
−
18
a
b
+
9
b
2
)
Question
14
14.
The quotient of
(
16
a
2
+
32
a
b
−
16
a
c
+
16
b
2
−
16
b
c
+
4
c
2
)
÷
(
−
4
a
−
4
b
+
2
c
)
is
(i)
(
−
4
a
−
4
b
+
2
c
)
(ii)
(
−
4
a
−
6
b
+
2
c
)
(iii)
(
−
4
a
−
2
b
+
2
c
)
(iv)
(
−
5
a
−
4
b
+
2
c
)
(v)
(
−
3
a
−
4
b
+
2
c
)
Question
15
15.
The quotient of
(
125
a
3
+
b
3
)
÷
(
5
a
+
b
)
is
(i)
(
25
a
2
−
5
a
b
+
b
2
)
(ii)
(
25
a
2
−
8
a
b
+
b
2
)
(iii)
(
26
a
2
−
5
a
b
+
b
2
)
(iv)
(
25
a
2
−
3
a
b
+
b
2
)
(v)
(
24
a
2
−
5
a
b
+
b
2
)
Question
16
16.
The quotient of
(
−
a
3
+
27
b
3
)
÷
(
−
a
+
3
b
)
is
(i)
(
a
2
+
6
a
b
+
9
b
2
)
(ii)
(
a
2
+
a
b
+
9
b
2
)
(iii)
(
3
a
b
+
9
b
2
)
(iv)
(
a
2
+
3
a
b
+
9
b
2
)
(v)
(
2
a
2
+
3
a
b
+
9
b
2
)
Question
17
17.
The quotient of
(
125
a
3
−
75
a
b
c
+
b
3
+
125
c
3
)
÷
(
5
a
+
b
+
5
c
)
is
(i)
(
26
a
2
−
5
a
b
−
25
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(ii)
(
24
a
2
−
5
a
b
−
25
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(iii)
(
25
a
2
−
7
a
b
−
25
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(iv)
(
25
a
2
−
5
a
b
−
25
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(v)
(
25
a
2
−
3
a
b
−
25
a
c
+
b
2
−
5
b
c
+
25
c
2
)
Question
18
18.
(
3
x
3
−
11
x
2
+
12
x
−
4
)
÷
(
−
3
x
2
+
8
x
−
4
)
=
(i)
(
−
x
+
1
)
(ii)
(
x
+
1
)
(iii)
(
−
2
x
+
1
)
(iv)
1
(v)
(
−
x
−
1
)
Question
19
19.
(
4
x
4
−
6
x
3
−
6
x
2
+
14
x
−
6
)
÷
(
−
4
x
3
+
2
x
2
+
8
x
−
6
)
=
(i)
(
−
2
x
+
1
)
(ii)
1
(iii)
(
x
+
1
)
(iv)
(
−
x
−
1
)
(v)
(
−
x
+
1
)
Question
20
20.
(
16
x
4
y
4
+
112
x
3
y
3
)
÷
4
x
2
y
2
=
(i)
(
4
x
2
y
2
+
28
y
2
)
(ii)
(
4
x
3
y
4
+
28
x
y
)
(iii)
(
4
x
3
y
3
+
28
x
y
)
(iv)
(
4
x
2
y
2
+
28
x
y
)
(v)
(
4
x
2
y
2
+
28
x
y
2
z
)
Question
21
21.
(
16
x
2
y
4
z
3
+
32
x
2
y
4
z
2
+
64
x
2
y
3
z
2
)
÷
4
x
y
2
z
=
(i)
(
4
x
y
2
z
2
+
16
x
y
z
+
8
y
3
z
)
(ii)
(
8
x
y
3
z
2
+
4
x
y
2
z
2
+
16
x
y
z
)
(iii)
(
4
x
2
y
4
z
2
+
8
x
y
2
z
+
16
x
y
z
)
(iv)
(
4
x
y
2
z
2
+
8
x
y
2
z
+
16
x
y
z
)
(v)
(
4
x
2
y
3
z
2
+
8
x
y
2
z
+
16
x
y
z
)
Question
22
22.
(
8
x
3
+
16
x
2
)
÷
4
x
(i)
(
2
x
2
−
4
x
)
(ii)
(
2
x
2
+
4
x
)
(iii)
(
x
2
+
4
x
)
(iv)
(
2
x
2
+
5
x
)
(v)
(
−
2
x
2
+
4
x
)
Question
23
23.
(
10
x
4
+
28
x
3
+
16
x
2
)
÷
(
5
x
2
+
4
x
)
(i)
(
2
x
2
−
4
x
)
(ii)
(
x
2
+
4
x
)
(iii)
(
2
x
2
+
5
x
)
(iv)
(
2
x
2
+
4
x
)
(v)
(
−
2
x
2
+
4
x
)
Question
24
24.
(
12
x
4
+
46
x
3
−
20
x
2
−
150
x
)
÷
(
6
x
2
+
8
x
−
30
)
(i)
(
2
x
2
+
4
x
)
(ii)
(
2
x
2
+
5
x
)
(iii)
(
2
x
2
+
6
x
)
(iv)
(
2
x
2
−
5
x
)
(v)
(
−
2
x
2
+
5
x
)
Assignment Key
1) (ii)
2) (iii)
3) (v)
4) (iii)
5) (iv)
6) (ii)
7) (iii)
8) (iii)
9) (ii)
10) (iii)
11) (i)
12) (iii)
13) (iv)
14) (i)
15) (i)
16) (iv)
17) (iv)
18) (i)
19) (v)
20) (iv)
21) (iv)
22) (ii)
23) (iv)
24) (ii)
