EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Factorisation
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Factorize
9
a
3
−
25
a
(i)
(
3
a
+
5
)
(
3
a
2
+
5
)
a
(ii)
(
3
a
2
+
5
)
(
5
a
−
3
)
a
(iii)
(
3
a
−
5
)
(
3
a
2
+
5
)
a
(iv)
(
3
a
+
5
)
(
5
a
−
3
)
a
(v)
(
3
a
+
5
)
(
3
a
−
5
)
a
Question
2
2.
The quotient when
6
i
is divided by
7
is
(i)
2
3
i
(ii)
6
5
i
(iii)
6
7
i
(iv)
4
7
i
(v)
8
7
i
Question
3
3.
(
4
x
3
y
3
+
8
x
2
y
4
)
÷
2
x
y
2
=
(i)
(
2
x
3
y
2
+
4
x
y
2
)
(ii)
(
2
x
2
y
+
4
x
y
3
z
)
(iii)
(
2
x
3
y
3
+
4
x
y
2
)
(iv)
(
2
x
2
y
+
4
y
3
)
(v)
(
2
x
2
y
+
4
x
y
2
)
Question
4
4.
The quotient when
(
7
d
2
−
8
d
+
4
)
is divided by
(
d
−
8
)
is
(i)
(
7
d
+
48
)
(ii)
(
4
d
+
48
)
(iii)
(
8
d
+
48
)
(iv)
(
9
d
+
48
)
(v)
(
6
d
+
48
)
Question
5
5.
Factorize and divide
(
−
15
x
4
−
171
x
3
−
606
x
2
−
756
x
−
216
)
÷
(
−
x
2
−
9
x
−
18
)
(i)
(
−
3
x
2
−
24
x
−
36
)
(ii)
(
15
x
2
+
36
x
+
12
)
(iii)
(
15
x
2
+
24
x
−
12
)
(iv)
(
15
x
2
−
24
x
−
12
)
(v)
(
15
x
2
−
36
x
+
12
)
Question
6
6.
Factorize
(
35
a
2
b
+
40
a
b
2
)
(i)
5
b
(
7
a
−
8
b
)
(ii)
5
a
b
(
−
7
a
−
8
b
)
(iii)
5
a
(
7
a
+
8
b
)
(iv)
5
a
b
(
7
a
−
8
b
)
(v)
5
a
b
(
7
a
+
8
b
)
Question
7
7.
The remainder when
(
−
8
h
+
4
)
is divided by
(
h
+
6
)
is
(i)
52
(ii)
53
(iii)
49
(iv)
55
(v)
51
Question
8
8.
Factorize
(
16
a
2
−
8
a
b
+
b
2
)
(i)
(
−
4
a
−
b
)
(
−
4
a
−
b
)
(ii)
(
−
5
a
+
b
)
(
−
5
a
+
b
)
(iii)
(
−
3
a
+
b
)
(
−
3
a
+
b
)
(iv)
(
−
4
a
+
3
b
)
(
−
4
a
+
4
b
)
(v)
(
−
4
a
+
b
)
(
−
4
a
+
b
)
Question
9
9.
Factorize
a
2
−
b
2
−
c
2
−
2
b
c
(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
10
10.
The quotient of
(
−
125
a
3
+
8
b
3
)
÷
(
−
5
a
+
2
b
)
is
(i)
(
25
a
2
+
8
a
b
+
4
b
2
)
(ii)
(
25
a
2
+
10
a
b
+
4
b
2
)
(iii)
(
26
a
2
+
10
a
b
+
4
b
2
)
(iv)
(
24
a
2
+
10
a
b
+
4
b
2
)
(v)
(
25
a
2
+
12
a
b
+
4
b
2
)
Question
11
11.
Factorize
(
63
x
y
+
21
y
2
)
(i)
7
x
(
9
x
−
3
y
)
(ii)
7
y
(
−
9
x
−
3
y
)
(iii)
7
y
(
9
x
−
3
y
)
(iv)
7
x
(
9
x
+
3
y
)
(v)
7
y
(
9
x
+
3
y
)
Question
12
12.
Which of the following is a factor of
43
x
2
y
5
z
?
(i)
43
x
y
z
(ii)
43
x
y
6
z
(iii)
x
3
y
z
(iv)
43
x
2
y
z
2
(v)
43
x
y
z
2
Question
13
13.
The quotient when
(
−
9
h
+
6
)
is divided by
(
h
+
1
)
is
(i)
(
−
9
)
(ii)
(
−
8
)
(iii)
(
−
10
)
(iv)
(
−
6
)
(v)
(
−
11
)
Question
14
14.
Factorize
(
x
4
+
x
2
−
2
)
(i)
(
x
2
+
2
)
(
x
2
+
1
)
(ii)
(
x
2
−
2
)
(
x
2
+
1
)
(iii)
(
x
2
+
2
)
(
x
2
−
1
)
(iv)
(
x
2
−
2
)
(
x
2
−
1
)
(v)
(
x
2
−
1
)
(
x
2
+
1
)
Question
15
15.
20
✕
g
✕
g
✕
h
✕
h
✕
h
=
(i)
20
g
3
h
3
(ii)
22
g
2
h
3
(iii)
20
g
2
h
3
(iv)
18
g
2
h
3
(v)
20
g
h
3
Question
16
16.
The remainder when
(
3
b
2
−
3
b
+
1
)
is divided by
(
b
+
7
)
is
(i)
170
(ii)
172
(iii)
166
(iv)
169
(v)
168
Question
17
17.
(
10
x
4
+
70
x
3
+
150
x
2
+
90
x
)
÷
(
2
x
2
+
12
x
+
18
)
(i)
(
5
x
2
+
5
x
)
(ii)
(
5
x
2
+
6
x
)
(iii)
(
5
x
2
−
5
x
)
(iv)
(
−
5
x
2
+
5
x
)
(v)
(
5
x
2
+
4
x
)
Question
18
18.
Factorize
a
2
c
2
−
b
2
c
2
−
a
2
d
2
+
b
2
d
2
(i)
(
a
+
b
)
(
a
−
b
)
(
c
+
d
)
(
c
−
d
)
(ii)
(
a
+
b
)
(
a
−
b
)
(
b
+
d
)
(
c
−
d
)
(iii)
(
a
+
b
)
(
a
−
c
)
(
c
+
d
)
(
c
−
d
)
(iv)
(
a
+
c
)
(
a
−
c
)
(
b
+
d
)
(
b
−
d
)
(v)
(
a
+
b
)
(
a
−
b
)
(
c
+
d
)
(
b
−
d
)
Question
19
19.
The quotient when
(
−
6
d
2
)
is divided by
(
d
+
4
)
is
(i)
(
−
9
d
+
24
)
(ii)
(
−
6
d
+
24
)
(iii)
(
−
4
d
+
24
)
(iv)
(
−
7
d
+
24
)
(v)
(
−
5
d
+
24
)
Question
20
20.
The remainder when
(
2
d
3
+
6
d
2
+
4
d
)
is divided by
(
d
2
−
d
−
72
)
is
(i)
(
155
d
+
576
)
(ii)
(
157
d
+
576
)
(iii)
(
153
d
+
576
)
(iv)
(
158
d
+
576
)
(v)
(
156
d
+
576
)
Question
21
21.
Factorize
(
a
2
−
2
a
b
+
b
2
)
(i)
(
−
b
)
(
−
b
)
(ii)
(
a
+
2
b
)
(
a
+
b
)
(iii)
(
2
a
−
b
)
(
2
a
−
b
)
(iv)
(
a
−
3
b
)
(
a
−
3
b
)
(v)
(
a
−
b
)
(
a
−
b
)
Question
22
22.
21
b
3
=
(i)
21
✕
b
✕
b
(ii)
21
✕
b
✕
b
✕
b
✕
b
(iii)
23
✕
b
✕
b
✕
b
(iv)
21
✕
b
✕
b
✕
b
(v)
18
✕
b
✕
b
✕
b
Question
23
23.
The quotient of
(
a
3
−
8
b
3
)
÷
(
a
−
2
b
)
is
(i)
(
2
a
b
+
4
b
2
)
(ii)
(
a
2
+
2
a
b
+
4
b
2
)
(iii)
(
a
2
+
5
a
b
+
4
b
2
)
(iv)
(
2
a
2
+
2
a
b
+
4
b
2
)
(v)
(
a
2
+
4
b
2
)
Question
24
24.
Which of the following are not polynomials?
a)
9
x
2
b)
(
4
x
2
−
2
x
y
−
6
y
2
)
c)
(
x
+
y
)
(
4
x
−
6
y
)
d)
(
x
+
y
)
e)
x
+
1
x
(i)
{b,e,c}
(ii)
{d,a,c}
(iii)
{a,c}
(iv)
{c,e}
(v)
{b,e}
Question
25
25.
(
4
x
4
+
2
x
3
)
÷
2
x
2
(i)
(
−
2
x
2
+
x
)
(ii)
(
2
x
2
+
2
x
)
(iii)
(
2
x
2
+
x
)
(iv)
(
x
2
+
x
)
(v)
(
2
x
2
−
x
)
Assignment Key
1) (v)
2) (iii)
3) (v)
4) (i)
5) (ii)
6) (v)
7) (i)
8) (v)
9) (iii)
10) (ii)
11) (v)
12) (i)
13) (i)
14) (iii)
15) (iii)
16) (iv)
17) (i)
18) (i)
19) (ii)
20) (v)
21) (v)
22) (iv)
23) (ii)
24) (iv)
25) (iii)
