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Class VI
Class VII
Class VIII
Class IX
Class X
CBSE Grade IX - Polynomials
Question
1
1.
The value of
201
✕
201
is
40404
40402
40399
40401
40400
Question
2
2.
If
(
x
2
−
1
)
is a factor of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
,
which of the following are true ?
a)
b + d = 0
b)
a + b + c + d + e = 0
c)
a + b + c = 0
d)
a + b + c = d + e
e)
a + c + e = 0
f)
d + e = 0
{f,c,e}
{d,a,b}
{c,a}
{d,b}
{a,b,e}
Question
3
3.
Factorize
(
x
4
+
x
3
−
11
x
2
−
9
x
+
18
)
(
x
+
3
)
(
x
−
1
)
(
x
−
3
)
(
x
+
2
)
(
x
+
3
)
(
x
−
1
)
(
x
+
1
)
(
x
−
2
)
(
x
+
3
)
(
x
−
1
)
(
x
−
3
)
(
x
+
1
)
(
x
+
3
)
(
x
−
1
)
(
x
−
3
)
(
x
−
2
)
(
x
+
3
)
(
x
−
1
)
(
x
+
2
)
(
x
+
1
)
Question
4
4.
Which of the following algebraic expressions is a binomial?
(
−
4
g
2
)
(
−
7
g
4
+
9
g
3
+
4
g
2
+
g
−
6
)
(
4
g
4
+
5
g
3
+
9
g
2
+
3
g
−
3
)
(
2
g
2
+
9
g
)
(
−
2
g
3
−
3
g
2
−
1
)
Question
5
5.
Factorize
(
10
x
2
+
x
y
−
2
y
2
)
(
2
x
−
y
)
(
5
x
+
2
y
)
(
2
x
+
y
)
(
5
x
−
2
y
)
(
2
x
−
y
)
(
5
x
−
2
y
)
(
2
x
+
y
)
(
5
x
+
2
y
)
(
2
x
+
y
)
(
2
x
+
y
)
Question
6
6.
Which of the following are possible values
for the length and breadth of a rectangle
whose area is
(
−
2
x
2
+
10
x
−
8
)
(
5
x
−
3
)
(
−
2
x
−
2
)
(
x
+
4
)
(
−
2
x
−
2
)
(
x
+
4
)
(
−
2
x
+
2
)
(
x
−
4
)
(
−
2
x
−
2
)
(
x
−
4
)
(
−
2
x
+
2
)
Question
7
7.
Factorize
(
9
x
2
−
18
x
−
27
)
(
3
x
+
3
)
(
3
x
−
9
)
(
3
x
+
3
)
(
4
x
−
9
)
(
3
x
+
3
)
(
2
x
−
9
)
(
3
x
+
3
)
(
−
9
)
(
3
x
+
3
)
(
5
x
−
9
)
Question
8
8.
Factorize
(
x
2
+
11
x
+
30
)
(
x
−
5
)
(
x
+
6
)
(
x
+
5
)
(
x
−
6
)
(
x
+
5
)
(
x
+
6
)
(
x
−
5
)
(
x
−
6
)
Question
9
9.
The coefficient of term
t
2
in polynomial
(
5
t
2
+
2
t
u
2
v
+
t
u
v
+
2
t
−
3
u
v
)
is
7
6
4
5
2
Question
10
10.
(
a
−
b
)
3
(
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
)
(
a
3
−
6
a
2
b
+
3
a
b
2
−
b
3
)
(
a
3
−
a
2
b
+
3
a
b
2
−
b
3
)
(
2
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
)
(
−
3
a
2
b
+
3
a
b
2
−
b
3
)
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