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Class VI
Class VII
Class VIII
Class IX
Class X
CBSE Grade VIII - Factorisation
Question
1
1.
(
36
x
5
−
156
x
4
+
141
x
3
+
30
x
2
−
69
x
+
18
)
divided by
(
12
x
3
−
4
x
2
−
5
x
+
2
)
=
(
3
x
2
+
12
x
+
9
)
(
3
x
2
−
12
x
−
9
)
(
3
x
2
−
12
x
+
9
)
(
3
x
2
−
13
x
+
9
)
(
3
x
2
−
11
x
+
9
)
Question
2
2.
Factorize
(
x
2
−
16
)
(
x
+
8
)
(
x
−
2
)
(
x
−
8
)
(
x
+
2
)
(
x
−
4
)
(
x
−
4
)
(
x
+
4
)
(
x
+
4
)
(
x
+
4
)
(
x
−
4
)
Question
3
3.
Which of the following are polynomials?
a)
x
2
+
1
x
2
b)
x
2
c)
x
+
1
x
d)
(
x
+
y
)
e)
(
x
+
y
)
(
x
−
y
)
{c,d,b}
{b,d}
{a,b}
{c,d}
{e,a,b}
Question
4
4.
Which of the following are not polynomials?
a)
√x
b)
x
2
+
1
x
2
c)
(
9
x
−
3
y
)
d)
(
9
x
+
2
y
)
e)
x
2
{e,c,a}
{d,b}
{d,b,a}
{c,a}
{a,b}
Question
5
5.
The remainder when
s
is divided by
(
−
1
)
is
2
(
−
1
)
1
0
(
−
2
)
Question
6
6.
Factorize
(
x
2
+
2
x
a
+
5
x
+
a
2
+
5
a
−
14
)
(
x
−
a
+
7
)
(
x
+
a
+
2
)
(
x
−
a
−
2
)
(
x
+
a
−
7
)
(
x
+
a
+
7
)
(
x
−
a
−
2
)
(
x
+
a
+
7
)
(
x
+
a
−
2
)
(
x
+
a
−
2
)
(
x
−
a
+
7
)
Question
7
7.
The quotient when
(
9
u
3
−
8
u
2
+
7
)
is divided by
(
u
2
−
6
u
−
27
)
is
(
6
u
+
46
)
(
8
u
+
46
)
(
9
u
+
46
)
(
10
u
+
46
)
(
11
u
+
46
)
Question
8
8.
The quotient when
(
4
m
4
−
7
m
3
+
8
m
2
−
3
m
+
3
)
is divided by
(
m
2
+
4
m
−
21
)
is
(
6
m
2
−
23
m
+
184
)
(
3
m
2
−
23
m
+
184
)
(
2
m
2
−
23
m
+
184
)
(
4
m
2
−
23
m
+
184
)
(
5
m
2
−
23
m
+
184
)
Question
9
9.
The quotient of
(
a
2
+
2
a
b
+
8
a
c
+
b
2
+
8
b
c
+
16
c
2
)
÷
(
a
+
b
+
4
c
)
is
(
a
+
3
b
+
4
c
)
(
a
−
b
+
4
c
)
(
b
+
4
c
)
(
2
a
+
b
+
4
c
)
(
a
+
b
+
4
c
)
Question
10
10.
Which of the following are not polynomials?
a)
(
2
x
+
9
y
)
b)
(
12
x
2
+
34
x
y
−
90
y
2
)
c)
x
2
d)
x
+
1
x
e)
(
2
x
+
9
y
)
(
6
x
−
10
y
)
{c,a,d}
{d,e}
{a,d}
{b,e,d}
{b,e}
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