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Class VI
Class VII
Class VIII
Class IX
Class X
SSC Grade IX - Polynomials and Factorisation
Question
1
1.
The quotient of
(
125
a
3
−
375
a
2
b
+
375
a
b
2
−
125
b
3
)
÷
(
5
a
−
5
b
)
is
(
25
a
2
−
50
a
b
+
25
b
2
)
(
26
a
2
−
50
a
b
+
25
b
2
)
(
24
a
2
−
50
a
b
+
25
b
2
)
(
25
a
2
−
52
a
b
+
25
b
2
)
(
25
a
2
−
48
a
b
+
25
b
2
)
Question
2
2.
The expanded form of
(
3
x
+
9
)
(
x
−
3
)
is
(
3
x
2
−
27
)
(
6
x
2
−
27
)
(
x
2
−
27
)
(
2
x
2
−
27
)
(
4
x
2
−
27
)
Question
3
3.
The value of the polynomial
(
8
g
2
−
3
g
+
5
)
at
g
=
1
is
13
8
9
11
10
Question
4
4.
Which of the following is a like term of
9
h
i
2
g
?
(
−
7
g
2
h
i
)
(
−
8
g
2
h
i
2
)
4
g
2
h
2
i
2
(
−
g
h
2
i
2
)
(
−
7
g
h
i
2
)
Question
5
5.
Factorize
(
−
64
a
3
+
27
b
3
)
(
−
4
a
+
6
b
)
(
16
a
2
+
15
a
b
+
9
b
2
)
(
−
5
a
+
3
b
)
(
15
a
2
+
12
a
b
+
9
b
2
)
(
−
4
a
+
3
b
)
(
16
a
2
+
12
a
b
+
9
b
2
)
(
−
4
a
+
b
)
(
16
a
2
+
9
a
b
+
9
b
2
)
(
−
3
a
+
3
b
)
(
17
a
2
+
12
a
b
+
9
b
2
)
Question
6
6.
(
5
a
+
3
b
)
3
(
125
a
3
+
227
a
2
b
+
135
a
b
2
+
27
b
3
)
(
126
a
3
+
225
a
2
b
+
135
a
b
2
+
27
b
3
)
(
125
a
3
+
225
a
2
b
+
135
a
b
2
+
27
b
3
)
(
125
a
3
+
222
a
2
b
+
135
a
b
2
+
27
b
3
)
(
124
a
3
+
225
a
2
b
+
135
a
b
2
+
27
b
3
)
Question
7
7.
Which of the following algebraic expressions is a quadratic polynomial?
(
−
3
)
(
−
3
d
+
1
)
(
3
d
2
+
7
d
−
5
)
(
2
d
3
+
5
d
2
−
6
d
+
6
)
(
9
d
5
−
3
d
4
−
2
d
2
−
7
d
+
3
)
Question
8
8.
Factorize
(
a
x
+
b
y
)
2
−
(
a
x
−
b
y
)
2
2
(
a
x
)
2
(
b
y
)
2
2
a
x
b
y
4
(
a
x
)
2
(
b
y
)
2
4
a
x
b
y
Question
9
9.
The value of the polynomial
(
−
6
h
i
j
+
6
h
i
−
9
h
j
)
at
h
=
(-5)
,
i
=
4
,
j
=
0
is
-121
-123
-120
-118
-119
Question
10
10.
(
−
3
a
−
3
2
b
)
2
(
9
a
2
+
9
a
b
+
9
4
b
2
)
(
9
a
2
+
6
a
b
+
9
4
b
2
)
(
8
a
2
+
9
a
b
+
9
4
b
2
)
(
10
a
2
+
9
a
b
+
9
4
b
2
)
(
9
a
2
+
12
a
b
+
9
4
b
2
)
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