EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The coefficient of term
y
2
in polynomial
(
y
2
+
7
y
−
4
)
is
(i)
2
(ii)
-1
(iii)
0
(iv)
1
(v)
3
Question
2
2.
The quotient of
(
a
2
−
10
a
b
+
25
b
2
)
÷
(
−
a
+
5
b
)
is
(i)
(
−
a
+
8
b
)
(ii)
5
b
(iii)
(
−
a
+
5
b
)
(iv)
(
−
a
+
2
b
)
(v)
(
−
2
a
+
5
b
)
Question
3
3.
Which of the following is a like term of
(
−
9
v
w
2
u
)
?
(i)
(
−
7
u
v
w
)
(ii)
(
−
2
u
2
v
w
2
)
(iii)
(
−
7
u
2
v
w
)
(iv)
9
u
v
w
2
(v)
(
−
3
u
2
v
2
w
2
)
Question
4
4.
Factorize
(
25
a
2
−
b
2
)
(i)
(
−
6
a
−
b
)
(
−
6
a
+
b
)
(ii)
(
−
4
a
−
b
)
(
−
4
a
+
b
)
(iii)
(
−
5
a
−
4
b
)
(
−
5
a
−
2
b
)
(iv)
(
−
5
a
+
b
)
(
−
5
a
+
4
b
)
(v)
(
−
5
a
−
b
)
(
−
5
a
+
b
)
Question
5
5.
The expanded form of
(
x
+
6
)
(
x
−
3
)
(
x
−
6
)
(
x
+
4
)
is
(i)
(
2
x
4
+
x
3
−
48
x
2
−
36
x
+
432
)
(ii)
(
x
3
−
48
x
2
−
36
x
+
432
)
(iii)
(
3
x
4
+
x
3
−
48
x
2
−
36
x
+
432
)
(iv)
(
x
4
+
x
3
−
48
x
2
−
36
x
+
432
)
(v)
(
−
x
4
+
x
3
−
48
x
2
−
36
x
+
432
)
Question
6
6.
The value of
(
−
8
h
i
j
−
9
h
i
+
8
h
)
✕
(
3
h
j
−
9
h
+
9
)
is
(i)
(
−
24
h
2
i
j
2
+
45
h
2
i
j
+
81
h
2
i
+
24
h
2
j
−
72
h
2
−
72
h
i
j
−
81
h
i
+
72
h
)
(ii)
(
−
24
h
2
i
j
2
+
48
h
2
i
j
+
81
h
2
i
+
24
h
2
j
−
72
h
2
−
72
h
i
j
−
81
h
i
+
72
h
)
(iii)
(
−
24
h
2
i
j
2
+
42
h
2
i
j
+
81
h
2
i
+
24
h
2
j
−
72
h
2
−
72
h
i
j
−
81
h
i
+
72
h
)
(iv)
(
−
25
h
2
i
j
2
+
45
h
2
i
j
+
81
h
2
i
+
24
h
2
j
−
72
h
2
−
72
h
i
j
−
81
h
i
+
72
h
)
(v)
(
−
23
h
2
i
j
2
+
45
h
2
i
j
+
81
h
2
i
+
24
h
2
j
−
72
h
2
−
72
h
i
j
−
81
h
i
+
72
h
)
Question
7
7.
Which of the following terms is a like term of
(
−
4
q
4
)
?
(i)
(
−
4
q
4
)
(ii)
4
q
(iii)
q
2
(iv)
8
(v)
q
3
Question
8
8.
Which of the following polynomials is not a multiple of
(
3
x
−
2
)
?
(i)
(
3
x
2
−
2
x
−
5
)
(ii)
(
3
x
2
−
17
x
+
10
)
(iii)
(
9
x
2
−
21
x
+
10
)
(iv)
(
3
x
2
+
x
−
2
)
(v)
(
3
x
2
+
4
x
−
4
)
Question
9
9.
Factorize
(
−
8
a
3
−
48
a
2
b
−
96
a
b
2
−
64
b
3
)
(i)
(
−
3
a
−
4
b
)
(
−
3
a
−
4
b
)
(
−
3
a
−
4
b
)
(ii)
(
−
2
a
−
4
b
)
(
−
2
a
−
4
b
)
(
−
2
a
−
4
b
)
(iii)
(
−
2
a
−
7
b
)
(
−
2
a
−
6
b
)
(
−
2
a
−
6
b
)
(iv)
(
−
2
a
−
b
)
(
−
2
a
−
2
b
)
(
−
2
a
−
2
b
)
(v)
(
−
a
−
4
b
)
(
−
a
−
4
b
)
(
−
a
−
4
b
)
Question
10
10.
Expand
(
x
+
1
x
)
2
(i)
x
2
+
2
+
1
x
2
(ii)
x
2
+
2
+
4
x
2
(iii)
x
+
2
+
1
x
2
(iv)
x
2
+
0
+
1
x
2
(v)
x
2
+
2
+
1
x
Question
11
11.
If
(
a
+
b
)
=
12
,
a
b
=
32
, find
(
a
2
+
b
2
)
(i)
80
(ii)
83
(iii)
78
(iv)
79
(v)
81
Question
12
12.
The value of
106
✕
95
is
(i)
10072
(ii)
10067
(iii)
10071
(iv)
10069
(v)
10070
Question
13
13.
The value of
74
✕
73
is
(i)
5402
(ii)
5401
(iii)
5405
(iv)
5400
(v)
5403
Question
14
14.
Find the remainder when
(
3
x
2
−
14
x
+
8
)
is divided by
(
x
+
7
)
(i)
254
(ii)
253
(iii)
256
(iv)
252
(v)
251
Question
15
15.
Factorize
(
3
x
2
+
9
x
−
54
)
(i)
(
3
x
−
9
)
(
x
+
6
)
(ii)
(
3
x
−
9
)
(
4
x
+
6
)
(iii)
(
3
x
−
9
)
6
(iv)
(
3
x
−
9
)
(
−
x
+
6
)
(v)
(
3
x
−
9
)
(
2
x
+
6
)
Question
16
16.
Find the value of
a
and
b
such that
8
x
4
+
b
x
3
+
106
x
2
−
130
x
+
a
is exactly divisible by
(
4
x
2
+
2
x
−
12
)
(i)
-300
,
65
(ii)
65
,
-299
(iii)
-299
,
64
(iv)
-300
,
64
(v)
63
,
-301
Question
17
17.
The coefficient of term
j
in polynomial
(
12
i
j
−
i
−
5
j
+
12
)
is
(i)
-6
(ii)
-4
(iii)
-7
(iv)
-3
(v)
-5
Question
18
18.
The remainder when
4
p
2
is divided by
(
p
−
8
)
is
(i)
259
(ii)
257
(iii)
255
(iv)
253
(v)
256
Question
19
19.
The value of the polynomial
(
n
o
p
+
7
n
o
+
9
p
)
at
n
=
5
,
o
=
(-4)
,
p
=
3
is
(i)
-171
(ii)
-173
(iii)
-175
(iv)
-174
(v)
-172
Question
20
20.
The expanded form of
(
−
3
b
c
)
3
is
(i)
(
−
3
b
c
)
✕
(
−
3
b
c
)
✕
(
−
3
b
c
)
(ii)
(
−
3
b
c
)
✕
(
−
3
b
c
)
(iii)
(
−
3
b
c
)
(iv)
(
−
3
b
c
)
✕
(
−
3
b
c
)
✕
(
−
3
b
c
)
✕
(
−
3
b
c
)
(v)
(
−
3
b
c
)
✕
(
−
3
b
c
)
✕
(
−
3
b
c
)
✕
(
−
3
b
c
)
✕
(
−
3
b
c
)
Question
21
21.
If
(
−
3
a
+
4
b
−
3
c
)
✕
A =
(
−
27
a
3
−
108
a
b
c
+
64
b
3
−
27
c
3
)
,
then A =
(i)
(
10
a
2
+
12
a
b
−
9
a
c
+
16
b
2
+
12
b
c
+
9
c
2
)
(ii)
(
8
a
2
+
12
a
b
−
9
a
c
+
16
b
2
+
12
b
c
+
9
c
2
)
(iii)
(
9
a
2
+
10
a
b
−
9
a
c
+
16
b
2
+
12
b
c
+
9
c
2
)
(iv)
(
9
a
2
+
12
a
b
−
9
a
c
+
16
b
2
+
12
b
c
+
9
c
2
)
(v)
(
9
a
2
+
14
a
b
−
9
a
c
+
16
b
2
+
12
b
c
+
9
c
2
)
Question
22
22.
The coefficient of term
r
s
2
in polynomial
(
6
q
2
r
2
s
+
2
q
2
−
5
q
r
2
s
2
−
r
2
s
+
4
r
s
2
)
is
(i)
4
(ii)
5
(iii)
7
(iv)
3
(v)
1
Question
23
23.
The quotient when
(
−
5
y
2
−
y
)
is divided by
(
y
−
6
)
is
(i)
(
−
3
y
−
31
)
(ii)
(
−
5
y
−
31
)
(iii)
(
−
4
y
−
31
)
(iv)
(
−
7
y
−
31
)
(v)
(
−
6
y
−
31
)
Question
24
24.
If
(
a
4
+
b
4
)
=
5392
,
a
b
=
48
, find
(
a
+
b
)
(i)
11
(ii)
14
(iii)
17
(iv)
13
(v)
15
Question
25
25.
(
2
a
−
3
2
b
)
(
2
a
+
3
2
b
)
(i)
(
4
a
2
−
11
4
b
2
)
(ii)
(
4
a
2
−
9
4
b
2
)
(iii)
(
3
a
2
−
9
4
b
2
)
(iv)
(
4
a
2
−
7
4
b
2
)
(v)
(
5
a
2
−
9
4
b
2
)
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (v)
5) (iv)
6) (i)
7) (i)
8) (i)
9) (ii)
10) (i)
11) (i)
12) (v)
13) (i)
14) (ii)
15) (i)
16) (iv)
17) (v)
18) (v)
19) (ii)
20) (i)
21) (iv)
22) (i)
23) (ii)
24) (ii)
25) (ii)
