EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Factorisation
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The remainder when
w
is divided by
2
is
(i)
(
−
3
)
(ii)
(
−
1
)
(iii)
0
(iv)
1
(v)
2
Question
2
2.
Factorize
36
a
3
−
81
a
(i)
(
6
a
+
9
)
(
9
a
−
6
)
a
(ii)
(
6
a
+
9
)
(
6
a
2
+
9
)
a
(iii)
(
6
a
2
+
9
)
(
9
a
−
6
)
a
(iv)
(
6
a
+
9
)
(
6
a
−
9
)
a
(v)
(
6
a
−
9
)
(
6
a
2
+
9
)
a
Question
3
3.
27
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
=
(i)
24
i
3
j
3
(ii)
27
i
2
j
3
(iii)
30
i
3
j
3
(iv)
27
i
3
j
3
(v)
27
i
4
j
3
Question
4
4.
Factorize
(
a
+
b
)
2
−
c
2
(i)
(
a
+
b
+
c
)
(
a
+
b
−
c
)
(ii)
(
a
+
b
−
c
)
(
a
−
b
−
c
)
(iii)
(
a
+
b
+
c
)
(
a
−
b
+
c
)
(iv)
(
a
+
b
+
c
)
(
a
−
b
−
c
)
(v)
(
a
+
b
−
c
)
(
a
−
b
+
c
)
Question
5
5.
Factorize
(
x
2
−
16
)
(i)
(
x
+
4
)
(
x
+
4
)
(ii)
(
x
−
4
)
(
x
−
4
)
(iii)
(
x
+
2
)
(
x
−
8
)
(iv)
(
x
−
2
)
(
x
+
8
)
(v)
(
x
+
4
)
(
x
−
4
)
Question
6
6.
The quotient when
(
2
k
2
−
k
)
is divided by
(
k
+
6
)
is
(i)
(
3
k
−
13
)
(ii)
(
4
k
−
13
)
(iii)
(
−
13
)
(iv)
(
2
k
−
13
)
(v)
(
k
−
13
)
Question
7
7.
d
✕
d
✕
d
=
(i)
3
d
3
(ii)
d
2
(iii)
d
4
(iv)
−
d
3
(v)
d
3
Question
8
8.
m
✕
m
✕
m
✕
n
✕
n
✕
n
✕
o
✕
o
✕
o
=
(i)
−
m
3
n
3
o
3
(ii)
m
4
n
3
o
3
(iii)
3
m
3
n
3
o
3
(iv)
m
3
n
3
o
3
(v)
m
2
n
3
o
3
Question
9
9.
Factorize
(
x
4
−
22
x
3
+
167
x
2
−
482
x
+
336
)
(i)
(
x
−
7
)
(
2
x
−
6
)
(
2
x
−
8
)
(
2
x
−
1
)
(ii)
(
x
−
7
)
(
x
−
6
)
(
x
−
8
)
(
x
−
1
)
(iii)
(
x
−
7
)
(
−
2
x
−
6
)
(
−
x
−
8
)
(
−
x
−
1
)
(iv)
(
x
−
7
)
(
4
x
−
6
)
(
4
x
−
8
)
(
4
x
−
1
)
(v)
(
x
−
7
)
(
−
6
)
(
−
8
)
(
−
1
)
Question
10
10.
The quotient of
(
−
125
a
3
−
150
a
2
b
−
60
a
b
2
−
8
b
3
)
÷
(
−
5
a
−
2
b
)
is
(i)
(
25
a
2
+
23
a
b
+
4
b
2
)
(ii)
(
25
a
2
+
17
a
b
+
4
b
2
)
(iii)
(
25
a
2
+
20
a
b
+
4
b
2
)
(iv)
(
26
a
2
+
20
a
b
+
4
b
2
)
(v)
(
24
a
2
+
20
a
b
+
4
b
2
)
Question
11
11.
The quotient of
(
−
27
a
3
−
144
a
b
c
+
64
b
3
−
64
c
3
)
÷
(
−
3
a
+
4
b
−
4
c
)
is
(i)
(
9
a
2
+
12
a
b
−
12
a
c
+
16
b
2
+
16
b
c
+
16
c
2
)
(ii)
(
9
a
2
+
15
a
b
−
12
a
c
+
16
b
2
+
16
b
c
+
16
c
2
)
(iii)
(
8
a
2
+
12
a
b
−
12
a
c
+
16
b
2
+
16
b
c
+
16
c
2
)
(iv)
(
10
a
2
+
12
a
b
−
12
a
c
+
16
b
2
+
16
b
c
+
16
c
2
)
(v)
(
9
a
2
+
10
a
b
−
12
a
c
+
16
b
2
+
16
b
c
+
16
c
2
)
Question
12
12.
The quotient when
7
g
2
is divided by
(
g
−
7
)
is
(i)
(
7
g
+
49
)
(ii)
(
10
g
+
49
)
(iii)
(
8
g
+
49
)
(iv)
(
6
g
+
49
)
(v)
(
5
g
+
49
)
Question
13
13.
The remainder when
(
9
s
4
−
5
s
3
+
9
s
2
+
3
s
+
5
)
is divided by
(
s
+
5
)
is
(i)
6465
(ii)
6467
(iii)
6466
(iv)
6464
(v)
6462
Question
14
14.
The quotient of
(
−
8
a
3
+
8
b
3
)
÷
(
−
2
a
+
2
b
)
is
(i)
(
4
a
2
+
a
b
+
4
b
2
)
(ii)
(
4
a
2
+
4
a
b
+
4
b
2
)
(iii)
(
4
a
2
+
6
a
b
+
4
b
2
)
(iv)
(
3
a
2
+
4
a
b
+
4
b
2
)
(v)
(
5
a
2
+
4
a
b
+
4
b
2
)
Question
15
15.
27
n
2
=
(i)
27
✕
n
(ii)
30
✕
n
✕
n
(iii)
27
✕
n
✕
n
(iv)
27
✕
n
✕
n
✕
n
(v)
24
✕
n
✕
n
Question
16
16.
Factorize
(
16
a
2
−
16
b
2
)
(i)
(
4
a
+
b
)
(
4
a
−
6
b
)
(ii)
(
5
a
+
4
b
)
(
5
a
−
4
b
)
(iii)
(
3
a
+
4
b
)
(
3
a
−
4
b
)
(iv)
(
4
a
+
6
b
)
(
4
a
−
2
b
)
(v)
(
4
a
+
4
b
)
(
4
a
−
4
b
)
Question
17
17.
The quotient when
(
7
v
5
+
4
v
4
+
4
v
3
−
v
2
−
8
v
−
4
)
is divided by
(
v
−
4
)
is
(i)
(
8
v
4
+
32
v
3
+
132
v
2
+
527
v
+
2100
)
(ii)
(
10
v
4
+
32
v
3
+
132
v
2
+
527
v
+
2100
)
(iii)
(
7
v
4
+
32
v
3
+
132
v
2
+
527
v
+
2100
)
(iv)
(
5
v
4
+
32
v
3
+
132
v
2
+
527
v
+
2100
)
(v)
(
6
v
4
+
32
v
3
+
132
v
2
+
527
v
+
2100
)
Question
18
18.
(
−
18
x
4
+
39
x
3
+
49
x
2
−
8
x
−
12
)
÷
(
18
x
3
+
15
x
2
−
4
x
−
4
)
=
(i)
(
x
+
3
)
(ii)
(
−
2
x
+
3
)
(iii)
(
−
x
−
3
)
(iv)
3
(v)
(
−
x
+
3
)
Question
19
19.
The quotient of
(
9
a
2
−
9
b
2
)
÷
(
3
a
+
3
b
)
is
(i)
(
2
a
−
3
b
)
(ii)
3
a
(iii)
(
4
a
−
3
b
)
(iv)
(
3
a
−
3
b
)
(v)
(
3
a
−
5
b
)
Question
20
20.
Factorize
a
2
b
2
−
b
2
c
2
(i)
(
a
b
+
b
c
)
(
a
c
+
b
c
)
(ii)
(
a
c
+
b
c
)
(
a
c
−
b
c
)
(iii)
(
a
b
−
b
c
)
(
a
b
−
b
c
)
(iv)
(
a
b
+
b
c
)
(
a
b
+
b
c
)
(v)
(
a
b
+
b
c
)
(
a
b
−
b
c
)
Question
21
21.
The quotient when
(
−
8
b
2
+
b
+
3
)
is divided by
(
b
−
1
)
is
(i)
(
−
7
b
−
7
)
(ii)
(
−
10
b
−
7
)
(iii)
(
−
8
b
−
7
)
(iv)
(
−
5
b
−
7
)
(v)
(
−
9
b
−
7
)
Question
22
22.
The remainder when
(
−
9
z
+
2
)
is divided by
(
z
+
9
)
is
(i)
82
(ii)
84
(iii)
83
(iv)
86
(v)
81
Question
23
23.
The quotient of
(
a
2
+
10
a
b
+
25
b
2
)
÷
(
−
a
−
5
b
)
is
(i)
(
−
5
b
)
(ii)
(
−
a
−
2
b
)
(iii)
(
−
a
−
7
b
)
(iv)
(
−
2
a
−
5
b
)
(v)
(
−
a
−
5
b
)
Question
24
24.
The quotient when
(
−
3
s
−
3
)
is divided by
(
s
+
6
)
is
(i)
(
−
4
)
(ii)
0
(iii)
(
−
2
)
(iv)
(
−
6
)
(v)
(
−
3
)
Question
25
25.
Which of the following is not a factor of
31
x
2
y
5
z
5
?
(i)
x
2
y
6
z
5
(ii)
x
y
5
z
5
(iii)
x
2
y
2
z
2
(iv)
x
2
y
4
z
5
(v)
x
2
y
5
z
4
Assignment Key
1) (iii)
2) (iv)
3) (iv)
4) (i)
5) (v)
6) (iv)
7) (v)
8) (iv)
9) (ii)
10) (iii)
11) (i)
12) (i)
13) (i)
14) (ii)
15) (iii)
16) (v)
17) (iii)
18) (v)
19) (iv)
20) (v)
21) (iii)
22) (iii)
23) (v)
24) (v)
25) (i)
