EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Factorisation
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The remainder when
(
−
3
n
4
−
n
3
+
9
n
2
+
3
n
)
is divided by
(
n
2
+
7
n
−
8
)
is
(i)
(
1248
n
−
1240
)
(ii)
(
1247
n
−
1240
)
(iii)
(
1249
n
−
1240
)
(iv)
(
1245
n
−
1240
)
(v)
(
1251
n
−
1240
)
Question
2
2.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
y
(ii)
(
x
+
y
+
1
)
(iii)
x
y
(iv)
x
Question
3
3.
Factorize
25
a
3
−
16
a
(i)
(
5
a
+
4
)
(
5
a
2
+
4
)
a
(ii)
(
5
a
2
+
4
)
(
4
a
−
5
)
a
(iii)
(
5
a
−
4
)
(
5
a
2
+
4
)
a
(iv)
(
5
a
+
4
)
(
4
a
−
5
)
a
(v)
(
5
a
+
4
)
(
5
a
−
4
)
a
Question
4
4.
Factorize
(
9
a
2
−
30
a
b
+
25
b
2
)
(i)
(
3
a
−
2
b
)
(
3
a
−
3
b
)
(ii)
(
3
a
−
5
b
)
(
3
a
−
5
b
)
(iii)
(
2
a
−
5
b
)
(
2
a
−
5
b
)
(iv)
(
3
a
−
7
b
)
(
3
a
−
8
b
)
(v)
(
4
a
−
5
b
)
(
4
a
−
5
b
)
Question
5
5.
Factorize
(
24
a
2
b
+
40
a
b
2
)
(i)
8
a
(
3
a
+
5
b
)
(ii)
8
a
b
(
3
a
+
5
b
)
(iii)
8
b
(
3
a
−
5
b
)
(iv)
8
a
b
(
−
3
a
−
5
b
)
(v)
8
a
b
(
3
a
−
5
b
)
Question
6
6.
(
12
x
4
−
52
x
3
+
43
x
2
+
18
x
−
9
)
÷
(
−
6
x
3
+
29
x
2
−
36
x
+
9
)
=
(i)
(
2
x
−
1
)
(ii)
(
−
2
x
+
1
)
(iii)
(
−
3
x
−
1
)
(iv)
(
−
2
x
−
1
)
(v)
(
−
x
−
1
)
Question
7
7.
The remainder when
2
s
is divided by
2
is
(i)
1
(ii)
0
(iii)
3
(iv)
(
−
3
)
(v)
(
−
1
)
Question
8
8.
Which of the following are not polynomials?
a)
√x
b)
x
2
c)
(
6
x
−
6
y
)
d)
(
12
x
2
+
30
x
y
−
42
y
2
)
e)
(
2
x
+
7
y
)
(
6
x
−
6
y
)
(i)
{c,e}
(ii)
{c,e,a}
(iii)
{a,e}
(iv)
{b,a}
(v)
{d,b,a}
Question
9
9.
The remainder when
(
−
i
2
−
7
i
)
is divided by
(
i
+
3
)
is
(i)
14
(ii)
11
(iii)
12
(iv)
9
(v)
13
Question
10
10.
27
n
3
o
3
=
(i)
25
✕
n
✕
n
✕
n
✕
o
✕
o
✕
o
(ii)
27
✕
n
✕
n
✕
n
✕
o
✕
o
✕
o
(iii)
27
✕
n
✕
n
✕
n
✕
n
✕
o
✕
o
✕
o
(iv)
30
✕
n
✕
n
✕
n
✕
o
✕
o
✕
o
(v)
27
✕
n
✕
n
✕
o
✕
o
✕
o
Question
11
11.
The quotient of
(
25
a
2
−
9
b
2
)
÷
(
−
5
a
−
3
b
)
is
(i)
(
−
4
a
+
3
b
)
(ii)
(
−
5
a
+
b
)
(iii)
(
−
5
a
+
5
b
)
(iv)
(
−
5
a
+
3
b
)
(v)
(
−
6
a
+
3
b
)
Question
12
12.
The remainder when
(
8
c
2
−
2
c
−
7
)
is divided by
(
c
−
8
)
is
(i)
489
(ii)
490
(iii)
492
(iv)
488
(v)
487
Question
13
13.
b
✕
b
✕
b
✕
c
✕
c
✕
c
✕
d
✕
d
=
(i)
b
4
c
3
d
2
(ii)
b
3
c
3
d
2
(iii)
4
b
3
c
3
d
2
(iv)
b
2
c
3
d
2
(v)
−
2
b
3
c
3
d
2
Question
14
14.
(
6
x
4
+
13
x
3
+
5
x
2
)
÷
(
2
x
2
+
x
)
(i)
(
3
x
2
+
5
x
)
(ii)
(
−
3
x
2
+
5
x
)
(iii)
(
2
x
2
+
5
x
)
(iv)
(
3
x
2
+
6
x
)
(v)
(
3
x
2
−
5
x
)
Question
15
15.
Which of the following are not polynomials?
a)
(
11
x
+
2
y
)
b)
(
9
x
−
8
y
)
c)
121
x
2
d)
121
x
2
+
1
121
x
2
e)
√x
(i)
{b,e,d}
(ii)
{a,d}
(iii)
{b,e}
(iv)
{c,a,d}
(v)
{d,e}
Question
16
16.
The remainder when
(
8
x
4
+
5
x
3
−
8
x
2
−
9
x
+
4
)
is divided by
(
x
+
5
)
is
(i)
4224
(ii)
4221
(iii)
4227
(iv)
4225
(v)
4223
Question
17
17.
(
−
9
x
3
+
36
x
2
−
29
x
+
6
)
÷
(
9
x
2
−
9
x
+
2
)
=
(i)
3
(ii)
(
−
x
−
3
)
(iii)
(
−
2
x
+
3
)
(iv)
(
−
x
+
3
)
(v)
(
x
+
3
)
Question
18
18.
The quotient when
7
r
2
is divided by
(
r
−
9
)
is
(i)
(
4
r
+
63
)
(ii)
(
10
r
+
63
)
(iii)
(
7
r
+
63
)
(iv)
(
8
r
+
63
)
(v)
(
6
r
+
63
)
Question
19
19.
Which of the following are not polynomials?
a)
x
2
b)
(
7
x
+
y
)
(
4
x
−
12
y
)
c)
(
7
x
+
y
)
d)
(
28
x
2
−
80
x
y
−
12
y
2
)
e)
x
+
1
x
(i)
{d,a,b}
(ii)
{a,b}
(iii)
{c,e,b}
(iv)
{c,e}
(v)
{b,e}
Question
20
20.
The quotient when
(
−
3
e
−
2
)
is divided by
(
e
−
9
)
is
(i)
(
−
2
)
(ii)
(
−
1
)
(iii)
(
−
3
)
(iv)
(
−
6
)
(v)
(
−
4
)
Question
21
21.
Factorize
(
4
x
3
−
44
x
2
+
156
x
−
180
)
(i)
(
x
−
5
)
(
4
x
−
6
)
(
4
x
−
6
)
(ii)
(
x
−
5
)
(
2
x
−
6
)
(
2
x
−
6
)
(iii)
(
x
−
5
)
(
−
x
−
6
)
(
−
x
−
6
)
(iv)
(
x
−
5
)
(
x
−
6
)
(
x
−
6
)
(v)
(
x
−
5
)
(
3
x
−
6
)
(
3
x
−
6
)
Question
22
22.
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
23
23.
(
8
x
4
+
8
x
3
)
÷
2
x
2
(i)
(
3
x
2
+
4
x
)
(ii)
(
4
x
2
+
5
x
)
(iii)
(
−
4
x
2
+
4
x
)
(iv)
(
4
x
2
+
4
x
)
(v)
(
4
x
2
−
4
x
)
Question
24
24.
Which of the following is a factor of
(
11
x
+
y
2
z
3
)
?
(i)
y
2
z
3
(ii)
y
(iii)
no factors
(iv)
11
x
(v)
x
z
3
Question
25
25.
The quotient of
(
125
a
3
+
225
a
2
b
+
135
a
b
2
+
27
b
3
)
÷
(
5
a
+
3
b
)
is
(i)
(
25
a
2
+
27
a
b
+
9
b
2
)
(ii)
(
24
a
2
+
30
a
b
+
9
b
2
)
(iii)
(
26
a
2
+
30
a
b
+
9
b
2
)
(iv)
(
25
a
2
+
30
a
b
+
9
b
2
)
(v)
(
25
a
2
+
33
a
b
+
9
b
2
)
Assignment Key
1) (i)
2) (iii)
3) (v)
4) (ii)
5) (ii)
6) (iv)
7) (ii)
8) (iii)
9) (iii)
10) (ii)
11) (iv)
12) (i)
13) (ii)
14) (i)
15) (v)
16) (i)
17) (iv)
18) (iii)
19) (v)
20) (iii)
21) (ii)
22) (iv)
23) (iv)
24) (iii)
25) (iv)
