EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
(
5
x
4
+
17
x
3
+
6
x
2
)
÷
(
x
2
+
3
x
)
(i)
(
−
5
x
2
+
2
x
)
(ii)
(
4
x
2
+
2
x
)
(iii)
(
5
x
2
+
3
x
)
(iv)
(
5
x
2
−
2
x
)
(v)
(
5
x
2
+
2
x
)
Question
2
2.
Which of the following is a factor of
43
x
2
y
5
z
5
?
(i)
x
2
y
3
z
6
(ii)
y
3
z
(iii)
x
3
y
3
z
(iv)
y
3
z
6
(v)
y
6
z
Question
3
3.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
4
g
2
)
(ii)
(
7
g
4
−
4
g
3
+
7
g
2
+
7
g
−
7
)
(iii)
(
3
g
4
−
4
g
3
+
9
g
2
+
4
g
+
7
)
(iv)
(
2
g
3
−
8
g
)
(v)
(
9
g
2
−
4
g
−
9
)
Question
4
4.
Which of the following algebraic expressions is a monomial?
(i)
(
8
s
3
t
u
3
−
9
s
2
t
u
−
8
s
u
)
(ii)
(
−
2
s
2
u
+
8
s
t
2
+
2
s
u
+
4
t
3
u
2
)
(iii)
(
−
6
s
t
2
u
2
)
(iv)
(
5
s
2
u
3
−
5
s
t
3
u
+
4
t
u
3
+
9
u
3
)
(v)
(
−
5
s
2
u
3
−
s
u
)
Question
5
5.
Which of the following polynomials has
(
2
x
+
4
)
as a factor ?
(i)
(
6
x
3
−
7
x
2
−
63
x
−
20
)
(ii)
(
6
x
3
−
21
x
2
−
15
x
+
12
)
(iii)
(
18
x
3
+
69
x
2
+
66
x
+
15
)
(iv)
(
12
x
3
+
30
x
2
+
6
x
−
12
)
(v)
(
6
x
3
−
25
x
2
+
3
x
+
4
)
Question
6
6.
Factorize
(
x
2
+
10
x
+
16
)
(i)
(
x
+
2
)
(
x
−
8
)
(ii)
(
x
−
2
)
(
x
+
8
)
(iii)
(
x
+
2
)
(
x
+
8
)
(iv)
(
x
−
2
)
(
x
−
8
)
Question
7
7.
Which of the following polynomials is a multiple of
(
x
+
1
)
?
(i)
(
6
x
3
+
25
x
2
+
31
x
+
10
)
(ii)
(
9
x
3
+
30
x
2
+
19
x
−
10
)
(iii)
(
4
x
3
−
7
x
−
3
)
(iv)
(
6
x
3
+
x
2
−
19
x
+
6
)
(v)
(
12
x
3
−
16
x
2
−
5
x
+
3
)
Question
8
8.
The value of the polynomial
(
−
9
r
4
+
8
r
3
+
8
r
2
−
r
−
1
)
at
r
=
0
is
(i)
-1
(ii)
-2
(iii)
2
(iv)
0
(v)
-3
Question
9
9.
The degree of the polynomial
(
−
3
z
+
3
)
is
(i)
2
(ii)
(-1)
(iii)
1
(iv)
0
(v)
3
Question
10
10.
The value of
801
1
2
✕
800
1
4
is
(i)
641400
3
8
(ii)
641400
3
10
(iii)
641400
1
8
(iv)
641400
5
8
(v)
641400
1
2
Question
11
11.
Which of the following algebraic expressions is a cubic polynomial?
(i)
(
−
6
)
(ii)
(
3
s
5
−
4
s
4
−
5
s
3
+
5
s
2
+
6
)
(iii)
(
−
3
s
2
+
3
s
+
9
)
(iv)
(
−
5
s
−
6
)
(v)
(
−
4
s
3
−
6
s
2
+
s
−
3
)
Question
12
12.
Find
492
3
(i)
119095478
(ii)
119095488
(iii)
119095508
(iv)
119095498
(v)
119095468
Question
13
13.
Factorize
(
−
27
a
3
+
45
a
b
c
+
b
3
+
125
c
3
)
(i)
(
−
3
a
+
b
+
5
c
)
(
9
a
2
+
3
a
b
+
15
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(ii)
(
−
2
a
+
b
+
5
c
)
(
10
a
2
+
3
a
b
+
15
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(iii)
(
−
4
a
+
b
+
5
c
)
(
8
a
2
+
3
a
b
+
15
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(iv)
(
−
3
a
−
2
b
+
5
c
)
(
9
a
2
+
a
b
+
15
a
c
+
b
2
−
5
b
c
+
25
c
2
)
(v)
(
−
3
a
+
4
b
+
5
c
)
(
9
a
2
+
5
a
b
+
15
a
c
+
b
2
−
5
b
c
+
25
c
2
)
Question
14
14.
The coefficient of term
d
2
in polynomial
(
−
9
b
2
c
d
2
−
8
b
c
−
7
c
d
2
+
5
c
d
+
6
d
2
)
is
(i)
6
(ii)
7
(iii)
9
(iv)
3
(v)
5
Question
15
15.
Factorize
(
x
4
+
2
x
3
−
7
x
2
−
8
x
+
12
)
(i)
(
x
−
1
)
(
x
+
2
)
(
x
−
2
)
(
x
+
1
)
(ii)
(
x
−
1
)
(
x
+
2
)
(
x
−
2
)
(
x
+
3
)
(iii)
(
x
−
1
)
(
x
+
2
)
(
x
−
2
)
(
x
−
3
)
(iv)
(
x
−
1
)
(
x
+
2
)
(
x
+
3
)
(
x
−
3
)
(v)
(
x
−
1
)
(
x
+
2
)
(
x
−
3
)
(
x
+
1
)
Question
16
16.
The expanded form of
(
x
+
3
)
(
x
−
9
)
(
x
+
3
)
(
x
−
6
)
is
(i)
(
−
9
x
3
−
27
x
2
+
189
x
+
486
)
(ii)
(
−
x
4
−
9
x
3
−
27
x
2
+
189
x
+
486
)
(iii)
(
2
x
4
−
9
x
3
−
27
x
2
+
189
x
+
486
)
(iv)
(
x
4
−
9
x
3
−
27
x
2
+
189
x
+
486
)
(v)
(
4
x
4
−
9
x
3
−
27
x
2
+
189
x
+
486
)
Question
17
17.
The coefficient of term
b
3
in polynomial
(
8
a
3
b
2
c
3
−
4
a
3
b
2
c
+
7
a
3
c
2
−
9
a
2
b
2
+
6
b
3
−
b
2
c
2
−
5
c
3
)
is
(i)
7
(ii)
5
(iii)
8
(iv)
6
(v)
4
Question
18
18.
The expanded form of
(
2
x
−
1
)
(
2
x
+
3
)
is
(i)
(
6
x
2
+
4
x
−
3
)
(ii)
(
4
x
2
+
4
x
−
3
)
(iii)
(
3
x
2
+
4
x
−
3
)
(iv)
(
5
x
2
+
4
x
−
3
)
(v)
(
x
2
+
4
x
−
3
)
Question
19
19.
Which of the following is a factor of
(
7
x
+
y
4
z
4
)
?
(i)
x
z
4
(ii)
7
x
(iii)
y
4
z
4
(iv)
y
3
(v)
no factors
Question
20
20.
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
c
+
b
c
)
(
a
c
−
b
c
)
(iv)
(
a
b
+
b
c
)
(
a
c
+
b
c
)
(v)
(
a
b
+
b
c
)
(
a
b
+
b
c
)
Question
21
21.
If
(
x
2
−
1
)
is a factor of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
,
which of the following are true ?
a)
b + d = 0
b)
a + b + c = d + e
c)
a + b + c + d + e = 0
d)
a + b + c = 0
e)
a + c + e = 0
f)
d + e = 0
(i)
{d,a,c}
(ii)
{a,c,e}
(iii)
{b,a}
(iv)
{f,b,e}
(v)
{d,c}
Question
22
22.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
−
6
q
+
7
)
(ii)
(
5
q
4
+
3
q
3
+
8
q
2
−
7
q
+
5
)
(iii)
(
−
1
)
(iv)
(
−
4
q
3
+
9
q
2
+
6
q
+
6
)
(v)
(
−
4
q
2
−
9
q
+
6
)
Question
23
23.
Which of the following algebraic expressions is a binomial?
(i)
(
2
f
2
+
7
f
+
1
)
(ii)
(
−
5
f
)
(iii)
(
−
f
4
+
9
f
3
−
3
f
2
+
7
f
−
1
)
(iv)
(
−
7
f
4
−
6
f
3
−
2
f
2
−
4
f
+
2
)
(v)
(
−
4
f
−
9
)
Question
24
24.
In which of the cases,
g
(
x
)
is a factor of
f
(
x
)
?
(i)
f
(
x
)
=
(
−
9
x
3
−
60
x
2
−
x
+
210
)
,
g
(
x
)
=
(
−
x
+
3
)
(ii)
f
(
x
)
=
(
2
x
3
−
3
x
2
−
72
x
+
108
)
,
g
(
x
)
=
(
−
2
x
+
3
)
(iii)
f
(
x
)
=
(
9
x
3
−
48
x
2
−
71
x
+
210
)
,
g
(
x
)
=
(
x
+
6
)
(iv)
f
(
x
)
=
(
−
6
x
3
−
41
x
2
−
9
x
+
126
)
,
g
(
x
)
=
(
−
3
x
+
5
)
(v)
f
(
x
)
=
(
9
x
3
−
21
x
2
−
53
x
+
105
)
,
g
(
x
)
=
(
−
x
+
6
)
Question
25
25.
Factorize
(
a
2
−
b
2
)
(i)
(
−
2
a
−
b
)
(
−
2
a
+
b
)
(ii)
(
−
b
)
b
(iii)
(
−
a
−
b
)
(
−
a
+
b
)
(iv)
(
−
a
+
b
)
(
−
a
+
4
b
)
(v)
(
−
a
−
3
b
)
(
−
a
−
b
)
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (iii)
5) (iv)
6) (iii)
7) (iii)
8) (i)
9) (iii)
10) (i)
11) (v)
12) (ii)
13) (i)
14) (i)
15) (ii)
16) (iv)
17) (iv)
18) (ii)
19) (v)
20) (ii)
21) (ii)
22) (v)
23) (v)
24) (ii)
25) (iii)
