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Class VI
Class VII
Class VIII
Class IX
Class X
CBSE Grade VIII - Factorisation
Question
1
1.
The remainder when
(
4
y
4
−
8
y
3
+
y
2
−
6
y
)
is divided by
(
y
−
8
)
is
12305
12303
12304
12307
12301
Question
2
2.
(
4
x
4
+
24
x
3
+
20
x
2
)
÷
(
x
2
+
5
x
)
(
−
4
x
2
+
4
x
)
(
3
x
2
+
4
x
)
(
4
x
2
+
4
x
)
(
4
x
2
−
4
x
)
(
4
x
2
+
5
x
)
Question
3
3.
The quotient when
5
i
is divided by
(
−
3
)
is
(
−
7
3
i
)
(
−
5
3
i
)
(
−
i
)
(
−
7
5
i
)
(
−
3
i
)
Question
4
4.
12
✕
i
✕
i
=
9
i
2
12
i
3
15
i
2
12
i
12
i
2
Question
5
5.
Factorize
(
x
4
+
16
x
3
+
63
x
2
−
36
x
−
324
)
(
x
+
9
)
(
3
x
+
6
)
(
3
x
+
3
)
(
3
x
−
2
)
(
x
+
9
)
(
x
+
6
)
(
x
+
3
)
(
x
−
2
)
(
x
+
9
)
(
−
2
x
+
6
)
(
−
2
x
+
3
)
(
−
2
x
−
2
)
(
x
+
9
)
6
3
(
−
2
)
(
x
+
9
)
(
2
x
+
6
)
(
2
x
+
3
)
(
2
x
−
2
)
Question
6
6.
The quotient when
(
−
3
u
3
−
7
u
−
9
)
is divided by
(
u
−
9
)
is
(
−
5
u
2
−
27
u
−
250
)
(
−
2
u
2
−
27
u
−
250
)
(
−
4
u
2
−
27
u
−
250
)
(
−
27
u
−
250
)
(
−
3
u
2
−
27
u
−
250
)
Question
7
7.
The quotient when
(
7
a
2
+
3
a
)
is divided by
(
a
−
7
)
is
(
6
a
+
52
)
(
7
a
+
52
)
(
9
a
+
52
)
(
8
a
+
52
)
(
4
a
+
52
)
Question
8
8.
i
✕
i
✕
i
✕
j
✕
j
✕
k
✕
k
=
−
2
i
3
j
2
k
2
3
i
3
j
2
k
2
i
4
j
2
k
2
i
2
j
2
k
2
i
3
j
2
k
2
Question
9
9.
The remainder when
(
9
b
4
+
2
b
3
+
3
b
2
+
7
b
+
4
)
is divided by
(
b
2
+
7
b
+
12
)
is
(
−
1515
b
−
3860
)
(
−
1513
b
−
3860
)
(
−
1516
b
−
3860
)
(
−
1517
b
−
3860
)
(
−
1514
b
−
3860
)
Question
10
10.
Which of the following is an irreducible factor of
27
x
5
y
2
z
5
?
y
2
z
y
x
2
y
x
z
3
x
2
y
2
z
3
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