EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
If
(
a
+
b
+
c
)
=
13
,
(
a
b
+
a
c
+
b
c
)
=
44
, find
(
a
2
+
b
2
+
c
2
)
(i)
78
(ii)
80
(iii)
83
(iv)
81
(v)
82
Question
2
2.
The quotient of
(
64
a
3
+
144
a
2
b
+
108
a
b
2
+
27
b
3
)
÷
(
4
a
+
3
b
)
is
(i)
(
17
a
2
+
24
a
b
+
9
b
2
)
(ii)
(
16
a
2
+
24
a
b
+
9
b
2
)
(iii)
(
16
a
2
+
21
a
b
+
9
b
2
)
(iv)
(
15
a
2
+
24
a
b
+
9
b
2
)
(v)
(
16
a
2
+
27
a
b
+
9
b
2
)
Question
3
3.
Given
f
(
g
)
=
(
7
g
−
3
)
,
find
f
(
0
)
(i)
-2
(ii)
-6
(iii)
-4
(iv)
0
(v)
-3
Question
4
4.
Which of the following are polynomials?
a)
(
x
+
y
)
(
x
−
y
)
b)
x
2
c)
x
2
+
1
x
2
d)
(
x
+
y
)
e)
x
+
1
x
(i)
{c,d}
(ii)
{c,d,b}
(iii)
{b,d}
(iv)
{e,a,b}
(v)
{a,b}
Question
5
5.
The value of
(
8
q
+
2
r
)
✕
(
−
7
q
+
8
r
)
✕
(
−
3
q
r
+
7
q
)
is
(i)
(
168
q
3
r
−
394
q
3
−
150
q
2
r
2
+
350
q
2
r
−
48
q
r
3
+
112
q
r
2
)
(ii)
(
168
q
3
r
−
392
q
3
−
150
q
2
r
2
+
350
q
2
r
−
48
q
r
3
+
112
q
r
2
)
(iii)
(
167
q
3
r
−
392
q
3
−
150
q
2
r
2
+
350
q
2
r
−
48
q
r
3
+
112
q
r
2
)
(iv)
(
169
q
3
r
−
392
q
3
−
150
q
2
r
2
+
350
q
2
r
−
48
q
r
3
+
112
q
r
2
)
(v)
(
168
q
3
r
−
390
q
3
−
150
q
2
r
2
+
350
q
2
r
−
48
q
r
3
+
112
q
r
2
)
Question
6
6.
Find the value of
10
3
+
50
3
−
60
3
(i)
(-1000000)
(ii)
(-8000)
(iii)
8000
(iv)
(-90000)
(v)
1000000
Question
7
7.
The quotient when
(
−
h
2
)
is divided by
(
h
+
2
)
is
(i)
(
−
h
+
2
)
(ii)
2
(iii)
(
−
2
h
+
2
)
(iv)
(
−
3
h
+
2
)
(v)
(
h
+
2
)
Question
8
8.
Which of the following terms can be subtracted from
7
i
2
?
(i)
(
−
i
2
)
(ii)
(
−
9
i
3
)
(iii)
(
−
6
)
(iv)
6
i
4
(v)
3
i
Question
9
9.
Which of the following terms can be added to
9
b
2
c
?
(i)
2
(ii)
(
−
7
c
2
)
(iii)
(
−
5
a
2
b
2
c
)
(iv)
(
−
b
2
c
)
(v)
4
a
2
b
c
2
Question
10
10.
Which of the following terms can be subtracted from
(
−
4
w
x
v
2
)
?
(i)
(
−
3
v
2
w
x
)
(ii)
9
v
2
w
x
2
(iii)
5
v
w
x
(iv)
9
v
w
2
x
2
(v)
3
v
2
w
2
x
Question
11
11.
The value of
201
1
2
✕
201
1
2
is
(i)
40601
3
4
(ii)
40602
1
6
(iii)
40602
3
4
(iv)
40602
1
4
(v)
40602
1
2
Question
12
12.
Factorize
(
28
x
y
+
12
y
2
)
(i)
4
y
(
7
x
−
3
y
)
(ii)
4
x
(
7
x
+
3
y
)
(iii)
4
y
(
−
7
x
−
3
y
)
(iv)
4
x
(
7
x
−
3
y
)
(v)
4
y
(
7
x
+
3
y
)
Question
13
13.
If the polynomial
f
(
x
)
=
k
x
2
+
9
x
−
18
is exactly divisible by
(
3
x
−
3
)
,
find
k
(i)
7
(ii)
9
(iii)
12
(iv)
10
(v)
8
Question
14
14.
If
(
3
a
+
5
b
)
✕
A =
(
27
a
3
+
135
a
2
b
+
225
a
b
2
+
125
b
3
)
,
then A =
(i)
(
9
a
2
+
30
a
b
+
25
b
2
)
(ii)
(
9
a
2
+
33
a
b
+
25
b
2
)
(iii)
(
9
a
2
+
28
a
b
+
25
b
2
)
(iv)
(
8
a
2
+
30
a
b
+
25
b
2
)
(v)
(
10
a
2
+
30
a
b
+
25
b
2
)
Question
15
15.
(
4
a
−
3
b
)
2
(i)
(
17
a
2
−
24
a
b
+
9
b
2
)
(ii)
(
16
a
2
−
22
a
b
+
9
b
2
)
(iii)
(
15
a
2
−
24
a
b
+
9
b
2
)
(iv)
(
16
a
2
−
27
a
b
+
9
b
2
)
(v)
(
16
a
2
−
24
a
b
+
9
b
2
)
Question
16
16.
(
25
x
4
+
5
x
3
)
÷
5
x
2
(i)
(
−
5
x
2
+
x
)
(ii)
(
5
x
2
+
2
x
)
(iii)
(
5
x
2
−
x
)
(iv)
(
4
x
2
+
x
)
(v)
(
5
x
2
+
x
)
Question
17
17.
Factorize
(
−
27
a
3
−
27
a
2
b
−
9
a
b
2
−
b
3
)
(i)
(
−
2
a
−
b
)
(
−
2
a
−
b
)
(
−
2
a
−
b
)
(ii)
(
−
4
a
−
b
)
(
−
4
a
−
b
)
(
−
4
a
−
b
)
(iii)
(
−
3
a
+
2
b
)
(
−
3
a
+
b
)
(
−
3
a
+
2
b
)
(iv)
(
−
3
a
−
b
)
(
−
3
a
−
b
)
(
−
3
a
−
b
)
(v)
(
−
3
a
−
4
b
)
(
−
3
a
−
3
b
)
(
−
3
a
−
4
b
)
Question
18
18.
The value of the polynomial
(
2
e
+
6
)
at
e
=
(-2)
is
(i)
1
(ii)
-1
(iii)
3
(iv)
2
(v)
4
Question
19
19.
The degree of polynomial
(
7
f
2
g
+
8
f
h
2
−
2
f
h
−
7
g
h
2
+
2
h
2
)
is
(i)
0
(ii)
2
(iii)
3
(iv)
4
(v)
6
Question
20
20.
(
−
5
a
+
5
b
)
2
(i)
(
25
a
2
−
50
a
b
+
25
b
2
)
(ii)
(
24
a
2
−
50
a
b
+
25
b
2
)
(iii)
(
25
a
2
−
48
a
b
+
25
b
2
)
(iv)
(
25
a
2
−
52
a
b
+
25
b
2
)
(v)
(
26
a
2
−
50
a
b
+
25
b
2
)
Question
21
21.
Which of the following terms can be added to
(
−
9
w
4
)
?
(i)
3
w
(ii)
4
w
3
(iii)
8
w
2
(iv)
(
−
8
w
4
)
(v)
(
−
1
)
Question
22
22.
(
−
4
a
+
b
)
(
−
4
a
−
b
)
(i)
(
16
a
2
+
b
2
)
(ii)
(
16
a
2
−
4
b
2
)
(iii)
(
16
a
2
−
b
2
)
(iv)
(
17
a
2
−
b
2
)
(v)
(
15
a
2
−
b
2
)
Question
23
23.
The expanded form of
(
1
2
k
l
)
3
is
(i)
1
2
k
l
✕
1
2
k
l
✕
1
2
k
l
✕
1
2
k
l
(ii)
1
2
k
l
✕
1
2
k
l
✕
1
2
k
l
✕
1
2
k
l
✕
1
2
k
l
(iii)
1
2
k
l
✕
1
2
k
l
(iv)
1
2
k
l
✕
1
2
k
l
✕
1
2
k
l
(v)
1
2
k
l
Question
24
24.
The quotient of
(
−
125
a
3
−
75
a
2
b
−
15
a
b
2
−
b
3
)
÷
(
−
5
a
−
b
)
is
(i)
(
25
a
2
+
8
a
b
+
b
2
)
(ii)
(
25
a
2
+
13
a
b
+
b
2
)
(iii)
(
25
a
2
+
10
a
b
+
b
2
)
(iv)
(
24
a
2
+
10
a
b
+
b
2
)
(v)
(
26
a
2
+
10
a
b
+
b
2
)
Question
25
25.
Find
798
3
(i)
508169572
(ii)
508169602
(iii)
508169592
(iv)
508169612
(v)
508169582
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (iii)
5) (ii)
6) (iv)
7) (i)
8) (i)
9) (iv)
10) (i)
11) (iv)
12) (v)
13) (ii)
14) (i)
15) (v)
16) (v)
17) (iv)
18) (iv)
19) (iii)
20) (i)
21) (iv)
22) (iii)
23) (iv)
24) (iii)
25) (iii)
