EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Given
f
(
y
)
=
(
−
4
y
2
+
y
−
6
)
,
find
f
(
(-4)
)
(i)
-76
(ii)
-74
(iii)
-72
(iv)
-73
(v)
-75
Question
2
2.
The value of
(
c
+
7
)
✕
(
−
4
b
c
+
4
)
is
(i)
(
−
4
b
c
2
−
28
b
c
+
4
c
+
28
)
(ii)
(
−
3
b
c
2
−
28
b
c
+
4
c
+
28
)
(iii)
(
−
4
b
c
2
−
25
b
c
+
4
c
+
28
)
(iv)
(
−
4
b
c
2
−
30
b
c
+
4
c
+
28
)
(v)
(
−
5
b
c
2
−
28
b
c
+
4
c
+
28
)
Question
3
3.
The expanded form of
(
1
5
k
)
3
is
(i)
1
5
k
✕
1
5
k
✕
1
5
k
✕
1
5
k
(ii)
1
5
k
(iii)
1
5
k
✕
1
5
k
✕
1
5
k
✕
1
5
k
✕
1
5
k
(iv)
1
5
k
✕
1
5
k
✕
1
5
k
(v)
1
5
k
✕
1
5
k
Question
4
4.
Which of the following terms can be added to
(
−
4
x
)
?
(i)
(
−
9
v
w
x
)
(ii)
9
x
(iii)
(
−
w
x
)
(iv)
7
v
(v)
(
−
6
v
w
)
Question
5
5.
Which of the following terms can be subtracted from
6
n
o
?
(i)
(
−
9
o
)
(ii)
2
n
o
(iii)
2
m
n
(iv)
(
−
4
m
n
o
)
(v)
(
−
8
m
)
Question
6
6.
(
5
a
−
5
b
−
c
)
2
(i)
(
25
a
2
−
50
a
b
−
10
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(ii)
(
25
a
2
−
47
a
b
−
10
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(iii)
(
26
a
2
−
50
a
b
−
10
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(iv)
(
25
a
2
−
52
a
b
−
10
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(v)
(
24
a
2
−
50
a
b
−
10
a
c
+
25
b
2
+
10
b
c
+
c
2
)
Question
7
7.
Which of the following polynomials is not a multiple of
(
2
x
+
1
)
?
(i)
(
3
x
2
−
4
x
−
4
)
(ii)
(
6
x
2
+
7
x
+
2
)
(iii)
(
6
x
2
+
11
x
+
4
)
(iv)
(
4
x
2
−
1
)
(v)
(
2
x
2
−
3
x
−
2
)
Question
8
8.
Which of the following algebraic expressions is a trinomial?
(i)
(
7
g
−
4
)
(ii)
(
7
g
3
−
2
g
−
5
)
(iii)
(
−
5
g
4
+
g
3
+
8
g
2
+
7
g
−
6
)
(iv)
(
g
4
+
5
g
3
−
9
g
2
−
g
+
4
)
(v)
(
−
5
g
4
)
Question
9
9.
Factorize
(
4
a
2
+
8
a
b
+
8
a
c
+
4
b
2
+
8
b
c
+
4
c
2
)
(i)
(
−
3
a
−
2
b
−
2
c
)
(
−
3
a
−
2
b
−
2
c
)
(ii)
(
−
2
a
−
2
b
−
2
c
)
(
−
2
a
−
2
b
−
2
c
)
(iii)
(
−
2
a
−
2
c
)
(
−
2
a
−
2
c
)
(iv)
(
−
2
a
−
5
b
−
2
c
)
(
−
2
a
−
5
b
−
2
c
)
(v)
(
−
a
−
2
b
−
2
c
)
(
−
a
−
2
b
−
2
c
)
Question
10
10.
The degree of the polynomial
(
−
2
x
2
+
3
x
+
6
)
is
(i)
3
(ii)
5
(iii)
(-1)
(iv)
2
(v)
1
Question
11
11.
The value of the polynomial
(
−
3
d
2
e
+
2
d
+
2
f
2
)
at
d
=
3
,
e
=
(-3)
,
f
=
(-3)
is
(i)
108
(ii)
106
(iii)
102
(iv)
104
(v)
105
Question
12
12.
Factorize
(
6
x
y
+
12
y
2
)
(i)
2
y
(
−
3
x
−
6
y
)
(ii)
2
x
(
3
x
−
6
y
)
(iii)
2
x
(
3
x
+
6
y
)
(iv)
2
y
(
3
x
−
6
y
)
(v)
2
y
(
3
x
+
6
y
)
Question
13
13.
The quotient of
(
16
a
2
+
24
a
b
+
9
b
2
)
÷
(
4
a
+
3
b
)
is
(i)
(
5
a
+
3
b
)
(ii)
(
4
a
+
3
b
)
(iii)
(
3
a
+
3
b
)
(iv)
(
4
a
+
b
)
(v)
(
4
a
+
6
b
)
Question
14
14.
Which of the following algebraic expressions is a cubic polynomial?
(i)
8
(ii)
(
8
b
−
9
)
(iii)
(
7
b
3
−
6
b
2
+
7
b
+
2
)
(iv)
(
4
b
5
−
3
b
4
+
4
b
3
−
2
b
2
+
3
)
(v)
(
−
6
b
2
−
b
−
4
)
Question
15
15.
Factorize
(
a
2
−
6
a
b
+
9
b
2
)
(i)
(
−
a
+
6
b
)
(
−
a
+
6
b
)
(ii)
(
−
a
+
b
)
(
−
a
)
(iii)
(
−
2
a
+
3
b
)
(
−
2
a
+
3
b
)
(iv)
(
−
a
+
3
b
)
(
−
a
+
3
b
)
(v)
3
b
3
b
Question
16
16.
The coefficient of term
k
in polynomial
(
3
k
3
−
k
2
−
5
k
−
1
)
is
(i)
-4
(ii)
-6
(iii)
-8
(iv)
-5
(v)
-2
Question
17
17.
Factorize
(
−
64
a
3
+
240
a
b
c
−
125
b
3
−
64
c
3
)
(i)
(
−
4
a
−
5
b
−
4
c
)
(
16
a
2
−
20
a
b
−
16
a
c
+
25
b
2
−
20
b
c
+
16
c
2
)
(ii)
(
−
4
a
−
2
b
−
4
c
)
(
16
a
2
−
18
a
b
−
16
a
c
+
25
b
2
−
20
b
c
+
16
c
2
)
(iii)
(
−
5
a
−
5
b
−
4
c
)
(
15
a
2
−
20
a
b
−
16
a
c
+
25
b
2
−
20
b
c
+
16
c
2
)
(iv)
(
−
3
a
−
5
b
−
4
c
)
(
17
a
2
−
20
a
b
−
16
a
c
+
25
b
2
−
20
b
c
+
16
c
2
)
(v)
(
−
4
a
−
8
b
−
4
c
)
(
16
a
2
−
23
a
b
−
16
a
c
+
25
b
2
−
20
b
c
+
16
c
2
)
Question
18
18.
Factorize
(
18
x
3
−
12
x
2
y
−
42
x
y
2
−
12
y
3
)
(i)
(
−
6
x
−
2
y
)
(
−
x
+
2
y
)
(
3
x
+
3
y
)
(ii)
(
−
6
x
−
2
y
)
(
−
x
+
2
y
)
(
3
x
−
3
y
)
(iii)
(
−
6
x
+
2
y
)
(
−
x
+
2
y
)
(
3
x
−
3
y
)
(iv)
(
−
6
x
−
2
y
)
(
−
x
−
2
y
)
(
3
x
−
3
y
)
(v)
(
−
6
x
+
2
y
)
(
−
x
+
2
y
)
(
3
x
+
3
y
)
Question
19
19.
The coefficient of term
i
2
k
3
in polynomial
(
−
7
i
3
j
3
k
+
i
3
k
+
9
i
2
j
3
−
i
2
j
k
3
+
9
i
2
k
3
−
7
i
j
2
−
7
j
2
k
3
)
is
(i)
9
(ii)
6
(iii)
11
(iv)
10
(v)
8
Question
20
20.
Given
f
(
y
)
=
(
9
y
4
−
2
y
3
−
6
y
2
+
5
y
−
9
)
,
find
f
(
(-5)
)
(i)
5691
(ii)
5694
(iii)
5689
(iv)
5692
(v)
5690
Question
21
21.
The value of the polynomial
(
6
q
−
5
)
at
q
=
3
is
(i)
11
(ii)
16
(iii)
13
(iv)
12
(v)
14
Question
22
22.
Factorize
a
2
b
2
−
b
2
c
2
(i)
(
a
b
+
b
c
)
(
a
b
+
b
c
)
(ii)
(
a
b
+
b
c
)
(
a
b
−
b
c
)
(iii)
(
a
b
+
b
c
)
(
a
c
+
b
c
)
(iv)
(
a
b
−
b
c
)
(
a
b
−
b
c
)
(v)
(
a
c
+
b
c
)
(
a
c
−
b
c
)
Question
23
23.
The quotient of
(
−
27
a
3
+
108
a
2
b
−
144
a
b
2
+
64
b
3
)
÷
(
−
3
a
+
4
b
)
is
(i)
(
10
a
2
−
24
a
b
+
16
b
2
)
(ii)
(
9
a
2
−
22
a
b
+
16
b
2
)
(iii)
(
9
a
2
−
27
a
b
+
16
b
2
)
(iv)
(
8
a
2
−
24
a
b
+
16
b
2
)
(v)
(
9
a
2
−
24
a
b
+
16
b
2
)
Question
24
24.
Which of the following are polynomials?
a)
(
x
+
y
)
b)
x
2
c)
x
+
1
x
d)
(
x
+
y
)
(
x
−
y
)
e)
x
2
+
1
x
2
(i)
{c,a}
(ii)
{d,b}
(iii)
{a,b}
(iv)
{d,b,a}
(v)
{e,c,a}
Question
25
25.
The expanded form of
(
2
x
−
4
)
(
2
x
−
4
)
is
(i)
(
x
2
−
16
x
+
16
)
(ii)
(
6
x
2
−
16
x
+
16
)
(iii)
(
4
x
2
−
16
x
+
16
)
(iv)
(
3
x
2
−
16
x
+
16
)
(v)
(
5
x
2
−
16
x
+
16
)
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (ii)
5) (ii)
6) (i)
7) (i)
8) (ii)
9) (ii)
10) (iv)
11) (v)
12) (v)
13) (ii)
14) (iii)
15) (iv)
16) (iv)
17) (i)
18) (i)
19) (i)
20) (i)
21) (iii)
22) (ii)
23) (v)
24) (iii)
25) (iii)
