EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following terms can be added to
8
d
e
?
(i)
5
e
f
(ii)
2
(iii)
(
−
2
d
f
)
(iv)
(
−
9
d
e
)
(v)
6
d
Question
2
2.
The value of the polynomial
(
−
8
)
at
s
=
5
,
t
=
(-2)
,
u
=
4
is
(i)
-9
(ii)
-11
(iii)
-7
(iv)
-8
(v)
-5
Question
3
3.
The value of
51
1
3
✕
51
1
3
is
(i)
2635
1
11
(ii)
2634
8
9
(iii)
2635
1
9
(iv)
2635
1
3
(v)
2635
1
7
Question
4
4.
If
(
a
−
b
)
=
3
,
a
b
=
18
, find
(
a
3
−
b
3
)
(i)
189
(ii)
186
(iii)
188
(iv)
190
(v)
191
Question
5
5.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
9
o
2
p
q
3
)
(ii)
(
−
1
)
(iii)
(
−
6
o
2
p
3
q
3
−
3
o
p
2
q
3
)
(iv)
(
−
2
o
3
p
2
q
−
3
o
3
p
q
2
−
7
o
3
p
q
+
8
p
q
3
)
(v)
(
5
o
3
p
3
+
o
2
p
q
3
−
7
o
p
q
)
Question
6
6.
The value of
59
✕
51
is
(i)
3012
(ii)
3008
(iii)
3010
(iv)
3009
(v)
3006
Question
7
7.
(
a
+
b
)
2
(i)
(
2
a
2
+
2
a
b
+
b
2
)
(ii)
(
2
a
b
+
b
2
)
(iii)
(
a
2
+
2
a
b
+
b
2
)
(iv)
(
a
2
+
4
a
b
+
b
2
)
(v)
(
a
2
+
b
2
)
Question
8
8.
The expanded form of
(
2
x
−
7
)
(
3
x
+
3
)
is
(i)
(
9
x
2
−
15
x
−
21
)
(ii)
(
6
x
2
−
15
x
−
21
)
(iii)
(
5
x
2
−
15
x
−
21
)
(iv)
(
7
x
2
−
15
x
−
21
)
(v)
(
3
x
2
−
15
x
−
21
)
Question
9
9.
Factorize
(
121
x
2
−
64
y
2
)
(i)
(
11
x
+
8
y
)
(
11
x
−
8
y
)
(ii)
(
11
x
+
16
y
)
(
11
x
−
4
y
)
(iii)
(
11
x
−
16
y
)
(
11
x
+
4
y
)
(iv)
(
11
x
+
8
y
)
(
11
x
+
8
y
)
(v)
(
11
x
−
8
y
)
(
11
x
−
8
y
)
Question
10
10.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
x
5
+
x
4
+
x
3
+
x
2
(ii)
−
2
x
3
−
2
x
(iii)
x
4
−
1
(iv)
3
x
5
+
7
x
3
+
3
x
4
+
7
x
2
+
4
x
+
4
Question
11
11.
Find
493
3
(i)
119823147
(ii)
119823167
(iii)
119823177
(iv)
119823137
(v)
119823157
Question
12
12.
(
4
x
4
y
3
+
8
x
3
y
3
)
÷
2
x
2
y
=
(i)
(
2
x
2
y
2
+
4
y
3
)
(ii)
(
2
x
3
y
3
+
4
x
y
2
)
(iii)
(
2
x
2
y
2
+
4
x
y
3
z
)
(iv)
(
2
x
3
y
4
+
4
x
y
2
)
(v)
(
2
x
2
y
2
+
4
x
y
2
)
Question
13
13.
(
a
−
b
)
2
(i)
(
a
2
+
a
b
+
b
2
)
(ii)
(
a
2
−
2
a
b
+
b
2
)
(iii)
(
2
a
2
−
2
a
b
+
b
2
)
(iv)
(
a
2
−
5
a
b
+
b
2
)
(v)
(
−
2
a
b
+
b
2
)
Question
14
14.
If
(
a
+
b
)
=
6
,
a
b
=
8
, find
(
a
2
+
b
2
)
(i)
21
(ii)
23
(iii)
18
(iv)
20
(v)
19
Question
15
15.
(
−
4
a
+
b
−
c
)
(
16
a
2
+
4
a
b
−
4
a
c
+
b
2
+
b
c
+
c
2
)
(i)
(
−
64
a
3
−
15
a
b
c
+
b
3
−
c
3
)
(ii)
(
−
64
a
3
−
12
a
b
c
+
b
3
−
c
3
)
(iii)
(
−
63
a
3
−
12
a
b
c
+
b
3
−
c
3
)
(iv)
(
−
65
a
3
−
12
a
b
c
+
b
3
−
c
3
)
(v)
(
−
64
a
3
−
10
a
b
c
+
b
3
−
c
3
)
Question
16
16.
The remainder when
(
−
v
4
−
3
v
3
−
v
2
−
3
v
−
6
)
is divided by
(
v
2
+
15
v
+
56
)
is
(i)
(
1199
v
+
6994
)
(ii)
(
1201
v
+
6994
)
(iii)
(
1197
v
+
6994
)
(iv)
(
1200
v
+
6994
)
(v)
(
1203
v
+
6994
)
Question
17
17.
Which of the following terms can be added to
u
2
v
?
(i)
(
−
3
u
2
v
2
)
(ii)
5
u
v
(iii)
(
−
8
u
2
v
)
(iv)
(
−
6
t
2
u
2
v
2
)
(v)
(
−
t
u
2
v
2
)
Question
18
18.
The degree of polynomial
(
3
i
+
j
2
+
4
j
+
1
)
is
(i)
0
(ii)
3
(iii)
1
(iv)
2
(v)
5
Question
19
19.
Which of the following algebraic expressions is a binomial?
(i)
(
6
n
3
p
3
+
5
n
2
o
2
p
3
+
3
n
2
o
2
−
7
o
3
)
(ii)
(
−
8
n
o
p
2
+
9
o
2
)
(iii)
(
−
5
n
3
o
+
6
n
2
−
3
n
o
p
2
)
(iv)
(
8
n
3
o
p
3
+
8
n
3
p
−
4
n
3
+
3
n
o
2
p
)
(v)
4
n
2
o
2
p
Question
20
20.
The coefficient of term
j
2
k
in polynomial
(
j
2
k
2
l
2
−
5
j
2
k
l
+
9
j
2
k
−
4
j
2
−
4
j
k
2
l
2
)
is
(i)
6
(ii)
9
(iii)
10
(iv)
8
(v)
12
Question
21
21.
(
−
3
a
−
b
)
(
9
a
2
−
3
a
b
+
b
2
)
(i)
(
−
27
a
3
−
4
b
3
)
(ii)
(
−
27
a
3
+
b
3
)
(iii)
(
−
26
a
3
−
b
3
)
(iv)
(
−
27
a
3
−
b
3
)
(v)
(
−
28
a
3
−
b
3
)
Question
22
22.
The value of
498
✕
498
is
(i)
248006
(ii)
248003
(iii)
248004
(iv)
248005
(v)
248001
Question
23
23.
Which of the following is a like term of
(
−
i
j
)
?
(i)
(
−
8
i
j
)
(ii)
(
−
9
i
2
j
)
(iii)
(
−
4
i
j
2
k
)
(iv)
(
−
3
i
k
)
(v)
(
−
8
i
)
Question
24
24.
The quotient when
(
5
w
4
−
3
w
3
−
6
w
2
+
5
w
−
3
)
is divided by
(
w
2
+
10
w
+
21
)
is
(i)
(
4
w
2
−
53
w
+
419
)
(ii)
(
5
w
2
−
53
w
+
419
)
(iii)
(
6
w
2
−
53
w
+
419
)
(iv)
(
3
w
2
−
53
w
+
419
)
(v)
(
7
w
2
−
53
w
+
419
)
Question
25
25.
If
(
a
+
b
+
c
)
=
7
,
(
a
2
+
b
2
+
c
2
)
=
27
, find
(
a
b
+
a
c
+
b
c
)
(i)
12
(ii)
14
(iii)
11
(iv)
10
(v)
9
Assignment Key
1) (iv)
2) (iv)
3) (iii)
4) (i)
5) (ii)
6) (iv)
7) (iii)
8) (ii)
9) (i)
10) (iii)
11) (v)
12) (v)
13) (ii)
14) (iv)
15) (ii)
16) (iv)
17) (iii)
18) (iv)
19) (ii)
20) (ii)
21) (iv)
22) (iii)
23) (i)
24) (ii)
25) (iii)
