EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Factorisation
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following are polynomials?
a)
x
+
1
x
b)
x
2
c)
(
x
+
y
)
d)
x
2
+
1
x
2
e)
(
x
+
y
)
(
x
−
y
)
(i)
{d,c,b}
(ii)
{e,a,b}
(iii)
{a,b}
(iv)
{d,c}
(v)
{b,c}
Question
2
2.
The quotient when
(
7
h
−
7
)
is divided by
(
h
−
9
)
is
(i)
7
(ii)
9
(iii)
4
(iv)
8
(v)
6
Question
3
3.
The quotient of
(
−
64
a
3
−
48
a
2
b
−
12
a
b
2
−
b
3
)
÷
(
−
4
a
−
b
)
is
(i)
(
16
a
2
+
8
a
b
+
b
2
)
(ii)
(
16
a
2
+
10
a
b
+
b
2
)
(iii)
(
16
a
2
+
5
a
b
+
b
2
)
(iv)
(
17
a
2
+
8
a
b
+
b
2
)
(v)
(
15
a
2
+
8
a
b
+
b
2
)
Question
4
4.
(
15
x
4
+
40
x
3
+
25
x
2
)
÷
(
5
x
2
+
5
x
)
(i)
(
−
3
x
2
+
5
x
)
(ii)
(
3
x
2
+
5
x
)
(iii)
(
3
x
2
+
6
x
)
(iv)
(
2
x
2
+
5
x
)
(v)
(
3
x
2
−
5
x
)
Question
5
5.
Factorize
(
x
4
+
5
x
3
−
58
x
2
−
320
x
−
384
)
(i)
(
x
+
2
)
(
2
x
−
8
)
(
2
x
+
8
)
(
2
x
+
3
)
(ii)
(
x
+
2
)
(
−
x
−
8
)
(
−
2
x
+
8
)
(
−
x
+
3
)
(iii)
(
x
+
2
)
(
−
8
)
8
3
(iv)
(
x
+
2
)
(
x
−
8
)
(
x
+
8
)
(
x
+
3
)
(v)
(
x
+
2
)
(
3
x
−
8
)
(
4
x
+
8
)
(
4
x
+
3
)
Question
6
6.
The quotient of
(
125
a
3
+
90
a
b
c
+
8
b
3
−
27
c
3
)
÷
(
5
a
+
2
b
−
3
c
)
is
(i)
(
26
a
2
−
10
a
b
+
15
a
c
+
4
b
2
+
6
b
c
+
9
c
2
)
(ii)
(
25
a
2
−
12
a
b
+
15
a
c
+
4
b
2
+
6
b
c
+
9
c
2
)
(iii)
(
24
a
2
−
10
a
b
+
15
a
c
+
4
b
2
+
6
b
c
+
9
c
2
)
(iv)
(
25
a
2
−
10
a
b
+
15
a
c
+
4
b
2
+
6
b
c
+
9
c
2
)
(v)
(
25
a
2
−
7
a
b
+
15
a
c
+
4
b
2
+
6
b
c
+
9
c
2
)
Question
7
7.
The remainder when
(
3
b
4
+
5
b
3
−
4
b
2
−
b
−
8
)
is divided by
(
b
2
−
3
b
−
18
)
is
(i)
(
526
b
+
1648
)
(ii)
(
530
b
+
1648
)
(iii)
(
527
b
+
1648
)
(iv)
(
528
b
+
1648
)
(v)
(
525
b
+
1648
)
Question
8
8.
Factorize
(
24
x
y
+
72
y
2
)
(i)
8
y
(
−
3
x
−
9
y
)
(ii)
8
x
(
3
x
−
9
y
)
(iii)
8
x
(
3
x
+
9
y
)
(iv)
8
y
(
3
x
−
9
y
)
(v)
8
y
(
3
x
+
9
y
)
Question
9
9.
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
10
10.
n
✕
n
✕
o
✕
o
✕
o
✕
o
=
(i)
n
o
4
(ii)
4
n
2
o
4
(iii)
n
3
o
4
(iv)
n
2
o
4
(v)
−
n
2
o
4
Question
11
11.
Factorize
(
16
a
2
+
24
a
b
+
9
b
2
)
(i)
(
−
4
a
−
6
b
)
(
−
4
a
−
5
b
)
(ii)
(
−
4
a
−
3
b
)
(
−
4
a
−
3
b
)
(iii)
(
−
5
a
−
3
b
)
(
−
5
a
−
3
b
)
(iv)
(
−
4
a
−
b
)
(
−
4
a
)
(v)
(
−
3
a
−
3
b
)
(
−
3
a
−
3
b
)
Question
12
12.
The remainder when
(
−
7
r
2
)
is divided by
(
r
+
9
)
is
(i)
(
−
569
)
(ii)
(
−
566
)
(iii)
(
−
565
)
(iv)
(
−
568
)
(v)
(
−
567
)
Question
13
13.
The remainder when
(
6
a
2
−
2
a
+
7
)
is divided by
(
a
−
3
)
is
(i)
54
(ii)
57
(iii)
52
(iv)
55
(v)
56
Question
14
14.
The remainder when
(
−
3
z
+
1
)
is divided by
(
z
−
5
)
is
(i)
(
−
11
)
(ii)
(
−
17
)
(iii)
(
−
13
)
(iv)
(
−
14
)
(v)
(
−
15
)
Question
15
15.
Factorize
(
x
2
+
4
x
+
3
)
(i)
(
x
−
1
)
(
x
−
3
)
(ii)
(
x
+
1
)
(
x
+
3
)
(iii)
(
x
−
1
)
(
x
+
3
)
(iv)
(
x
+
1
)
(
x
−
3
)
Question
16
16.
Factorize
(
a
x
+
b
y
)
2
−
(
a
x
−
b
y
)
2
(i)
4
(
a
x
)
2
(
b
y
)
2
(ii)
4
a
x
b
y
(iii)
2
(
a
x
)
2
(
b
y
)
2
(iv)
2
a
x
b
y
Question
17
17.
The quotient when
(
−
2
g
2
−
g
−
2
)
is divided by
(
g
+
9
)
is
(i)
(
−
4
g
+
17
)
(ii)
(
−
g
+
17
)
(iii)
(
−
3
g
+
17
)
(iv)
17
(v)
(
−
2
g
+
17
)
Question
18
18.
Factorize
(
10
a
2
b
+
8
a
b
2
)
(i)
2
a
b
(
−
5
a
−
4
b
)
(ii)
2
a
(
5
a
+
4
b
)
(iii)
2
b
(
5
a
−
4
b
)
(iv)
2
a
b
(
5
a
−
4
b
)
(v)
2
a
b
(
5
a
+
4
b
)
Question
19
19.
Factorize
16
a
3
−
81
a
(i)
(
4
a
−
9
)
(
4
a
2
+
9
)
a
(ii)
(
4
a
+
9
)
(
4
a
−
9
)
a
(iii)
(
4
a
+
9
)
(
9
a
−
4
)
a
(iv)
(
4
a
2
+
9
)
(
9
a
−
4
)
a
(v)
(
4
a
+
9
)
(
4
a
2
+
9
)
a
Question
20
20.
h
2
=
(i)
h
✕
h
(ii)
-2
✕
h
✕
h
(iii)
h
(iv)
3
✕
h
✕
h
(v)
h
✕
h
✕
h
Question
21
21.
Which of the following are not polynomials?
a)
81
x
2
b)
(
8
x
+
10
y
)
(
7
x
−
2
y
)
c)
x
+
1
x
d)
(
56
x
2
+
54
x
y
−
20
y
2
)
e)
(
8
x
+
10
y
)
(i)
{d,c,b}
(ii)
{e,a,b}
(iii)
{d,c}
(iv)
{a,b}
(v)
{b,c}
Question
22
22.
Factorize
a
2
−
b
2
−
c
2
−
2
b
c
(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.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
y
(ii)
x
(iii)
(
x
+
y
+
1
)
(iv)
x
y
Question
24
24.
17
✕
a
✕
a
✕
a
✕
a
✕
b
✕
b
✕
c
✕
c
✕
c
✕
c
=
(i)
17
a
3
b
2
c
4
(ii)
20
a
4
b
2
c
4
(iii)
17
a
4
b
2
c
4
(iv)
17
a
5
b
2
c
4
(v)
15
a
4
b
2
c
4
Question
25
25.
Factorize
(
x
2
−
36
)
(i)
(
x
+
3
)
(
x
−
12
)
(ii)
(
x
+
6
)
(
x
+
6
)
(iii)
(
x
−
6
)
(
x
−
6
)
(iv)
(
x
−
3
)
(
x
+
12
)
(v)
(
x
+
6
)
(
x
−
6
)
Assignment Key
1) (v)
2) (i)
3) (i)
4) (ii)
5) (iv)
6) (iv)
7) (iii)
8) (v)
9) (v)
10) (iv)
11) (ii)
12) (v)
13) (iv)
14) (iv)
15) (ii)
16) (ii)
17) (v)
18) (v)
19) (ii)
20) (i)
21) (v)
22) (iv)
23) (iv)
24) (iii)
25) (v)
