EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following is a factor of
(
4
x
3
+
y
z
)
?
(i)
4
x
2
z
(ii)
no factors
(iii)
4
x
3
(iv)
4
y
(v)
y
z
Question
2
2.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
3
x
5
+
7
x
3
+
3
x
4
+
7
x
2
+
4
x
+
4
(ii)
−
2
x
3
−
2
x
(iii)
x
4
−
1
(iv)
x
5
+
x
4
+
x
3
+
x
2
Question
3
3.
The coefficient of term
e
3
in polynomial
(
−
8
e
3
+
3
e
2
−
8
e
−
3
)
is
(i)
-9
(ii)
-11
(iii)
-8
(iv)
-7
(v)
-6
Question
4
4.
Given
f
(
x
)
=
(
−
9
x
2
−
9
x
+
7
)
,
find
f
(
(-5)
)
(i)
-175
(ii)
-174
(iii)
-170
(iv)
-172
(v)
-173
Question
5
5.
(
−
6
x
3
+
13
x
2
+
21
x
−
18
)
÷
(
2
x
2
−
3
x
−
9
)
=
(i)
(
3
x
+
2
)
(ii)
(
−
2
x
+
2
)
(iii)
(
−
4
x
+
2
)
(iv)
(
−
3
x
+
2
)
(v)
(
−
3
x
−
2
)
Question
6
6.
Factorize
(
x
2
+
9
x
+
18
)
(i)
(
x
−
6
)
(
x
+
3
)
(ii)
(
x
+
6
)
(
x
+
3
)
(iii)
(
x
−
6
)
(
x
−
3
)
(iv)
(
x
+
6
)
(
x
−
3
)
Question
7
7.
Factorize
(
6
x
2
−
x
−
40
)
(i)
(
3
x
−
8
)
(
x
+
5
)
(ii)
(
3
x
−
8
)
(
−
x
+
5
)
(iii)
(
3
x
−
8
)
(
5
x
+
5
)
(iv)
(
3
x
−
8
)
(
2
x
+
5
)
(v)
(
3
x
−
8
)
(
3
x
+
5
)
Question
8
8.
Factorize
(
64
a
3
+
192
a
2
b
+
192
a
b
2
+
64
b
3
)
(i)
(
4
a
+
6
b
)
(
4
a
+
6
b
)
(
4
a
+
6
b
)
(ii)
(
4
a
+
4
b
)
(
4
a
+
4
b
)
(
4
a
+
4
b
)
(iii)
(
5
a
+
4
b
)
(
5
a
+
4
b
)
(
5
a
+
4
b
)
(iv)
(
3
a
+
4
b
)
(
3
a
+
4
b
)
(
3
a
+
4
b
)
(v)
(
4
a
+
2
b
)
(
4
a
+
b
)
(
4
a
+
2
b
)
Question
9
9.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
5
(ii)
(
4
f
3
−
6
f
2
−
6
f
−
3
)
(iii)
(
2
f
+
6
)
(iv)
(
2
f
2
+
8
f
+
6
)
(v)
(
−
3
f
5
−
f
4
+
3
f
3
+
8
f
−
9
)
Question
10
10.
Factorize
(
a
3
−
6
a
2
b
+
12
a
b
2
−
8
b
3
)
(i)
(
a
−
2
b
)
(
a
−
2
b
)
(
a
−
2
b
)
(ii)
a
(
a
+
b
)
a
(iii)
(
2
a
−
2
b
)
(
2
a
−
2
b
)
(
2
a
−
2
b
)
(iv)
(
a
−
4
b
)
(
a
−
5
b
)
(
a
−
5
b
)
(v)
(
−
2
b
)
(
−
2
b
)
(
−
2
b
)
Question
11
11.
Factorize
(
5
a
−
2
b
)
3
+
(
2
b
−
c
)
3
+
(
c
−
5
a
)
3
(i)
3
(
5
a
+
2
b
)
(
2
b
−
c
)
(
c
−
5
a
)
(ii)
3
(
5
a
−
2
b
)
(
2
b
+
c
)
(
c
+
5
a
)
(iii)
3
(
5
a
−
2
b
)
(
2
b
−
c
)
(
c
−
5
a
)
(iv)
3
(
5
a
−
2
b
)
(
2
b
−
c
)
(
c
+
5
a
)
(v)
3
(
5
a
−
2
b
)
(
2
b
+
c
)
(
c
−
5
a
)
Question
12
12.
The value of
65
✕
52
is
(i)
3380
(ii)
3382
(iii)
3379
(iv)
3377
(v)
3381
Question
13
13.
The value of the polynomial
(
2
e
4
+
8
e
3
+
4
e
2
−
3
e
+
2
)
at
e
=
2
is
(i)
105
(ii)
110
(iii)
108
(iv)
109
(v)
107
Question
14
14.
(
10
x
4
+
10
x
3
)
÷
5
x
2
(i)
(
2
x
2
+
3
x
)
(ii)
(
−
2
x
2
+
2
x
)
(iii)
(
x
2
+
2
x
)
(iv)
(
2
x
2
−
2
x
)
(v)
(
2
x
2
+
2
x
)
Question
15
15.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
−
4
b
2
+
4
)
(ii)
(
−
8
b
3
−
6
b
2
−
9
)
(iii)
0
(iv)
9
b
2
(v)
(
8
b
4
+
2
b
3
+
8
b
2
+
7
b
−
1
)
Question
16
16.
(
24
x
5
+
80
x
4
+
38
x
3
−
74
x
2
−
32
x
+
24
)
divided by
(
−
8
x
3
−
16
x
2
−
2
x
+
6
)
=
(i)
(
−
3
x
2
−
4
x
−
4
)
(ii)
(
−
3
x
2
+
4
x
+
4
)
(iii)
(
−
3
x
2
−
5
x
+
4
)
(iv)
(
−
3
x
2
−
3
x
+
4
)
(v)
(
−
3
x
2
−
4
x
+
4
)
Question
17
17.
Find
506
3
(i)
129554216
(ii)
129554206
(iii)
129554236
(iv)
129554196
(v)
129554226
Question
18
18.
(
2
a
−
3
b
)
2
(i)
(
4
a
2
−
12
a
b
+
9
b
2
)
(ii)
(
3
a
2
−
12
a
b
+
9
b
2
)
(iii)
(
4
a
2
−
9
a
b
+
9
b
2
)
(iv)
(
5
a
2
−
12
a
b
+
9
b
2
)
(v)
(
4
a
2
−
14
a
b
+
9
b
2
)
Question
19
19.
The constant term in polynomial
(
5
m
+
7
)
is
(i)
6
(ii)
5
(iii)
8
(iv)
10
(v)
7
Question
20
20.
The coefficient of term
k
2
l
2
m
in polynomial
(
−
7
k
2
l
2
m
−
5
k
2
l
m
2
+
5
k
−
9
l
+
m
2
)
is
(i)
-10
(ii)
-4
(iii)
-6
(iv)
-7
(v)
-8
Question
21
21.
The value of the polynomial
(
−
3
y
2
+
3
y
−
7
)
at
y
=
2
is
(i)
-13
(ii)
-12
(iii)
-14
(iv)
-16
(v)
-11
Question
22
22.
Which of the following polynomials is not a multiple of
(
2
x
+
5
)
?
(i)
(
2
x
2
+
3
x
−
5
)
(ii)
(
3
x
2
−
x
−
2
)
(iii)
(
6
x
2
+
19
x
+
10
)
(iv)
(
2
x
2
+
9
x
+
10
)
(v)
(
6
x
2
+
13
x
−
5
)
Question
23
23.
The degree of polynomial
(
−
3
v
w
−
6
v
+
3
w
+
9
)
is
(i)
5
(ii)
1
(iii)
2
(iv)
3
(v)
0
Question
24
24.
Which of the following are not polynomials?
a)
25
x
2
b)
(
9
x
−
5
y
)
c)
√x
d)
(
12
x
+
y
)
e)
25
x
2
+
1
25
x
2
(i)
{b,e}
(ii)
{b,e,c}
(iii)
{a,c}
(iv)
{d,a,c}
(v)
{c,e}
Question
25
25.
(
2
a
+
3
2
b
)
2
(i)
(
4
a
2
+
4
a
b
+
9
4
b
2
)
(ii)
(
4
a
2
+
6
a
b
+
9
4
b
2
)
(iii)
(
5
a
2
+
6
a
b
+
9
4
b
2
)
(iv)
(
4
a
2
+
9
a
b
+
9
4
b
2
)
(v)
(
3
a
2
+
6
a
b
+
9
4
b
2
)
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (iv)
6) (ii)
7) (iv)
8) (ii)
9) (iv)
10) (i)
11) (iii)
12) (i)
13) (iii)
14) (v)
15) (iii)
16) (v)
17) (i)
18) (i)
19) (v)
20) (iv)
21) (i)
22) (ii)
23) (iii)
24) (v)
25) (ii)
