EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The degree of the polynomial
(
−
7
e
+
2
)
is
(i)
3
(ii)
1
(iii)
(-2)
(iv)
2
(v)
0
Question
2
2.
The degree of the polynomial
(
−
9
p
2
+
5
p
+
2
)
is
(i)
0
(ii)
4
(iii)
3
(iv)
2
(v)
1
Question
3
3.
The degree of the polynomial
(
4
g
4
−
3
g
2
−
4
g
)
is
(i)
5
(ii)
3
(iii)
1
(iv)
6
(v)
4
Question
4
4.
The degree of the polynomial
(
9
n
4
−
9
n
3
−
2
n
2
−
2
n
+
9
)
is
(i)
5
(ii)
4
(iii)
7
(iv)
3
(v)
1
Question
5
5.
The constant term in polynomial
(
5
f
+
5
)
is
(i)
6
(ii)
5
(iii)
2
(iv)
4
(v)
8
Question
6
6.
The coefficient of term
y
2
in polynomial
(
6
y
2
+
4
y
+
7
)
is
(i)
4
(ii)
6
(iii)
7
(iv)
5
(v)
9
Question
7
7.
The coefficient of term
d
in polynomial
(
5
d
3
+
4
d
2
−
4
d
−
2
)
is
(i)
-1
(ii)
-7
(iii)
-5
(iv)
-4
(v)
-3
Question
8
8.
The coefficient of term
q
2
in polynomial
(
−
4
q
4
+
6
q
3
+
4
q
2
−
8
q
+
5
)
is
(i)
3
(ii)
5
(iii)
4
(iv)
6
(v)
1
Question
9
9.
Which of the following algebraic expressions is a monomial?
(i)
(
−
2
p
4
−
3
p
3
+
9
p
2
+
5
p
−
1
)
(ii)
(
−
4
p
4
−
p
3
−
7
p
2
−
9
p
+
1
)
(iii)
(
6
p
4
−
5
p
3
−
6
p
2
)
(iv)
(
−
3
p
4
)
(v)
(
4
p
4
+
8
p
3
)
Question
10
10.
Which of the following algebraic expressions is a binomial?
(i)
(
−
5
e
4
+
7
e
2
)
(ii)
(
e
3
−
6
e
2
+
7
)
(iii)
(
9
e
4
+
2
e
3
−
4
e
2
+
5
e
+
4
)
(iv)
6
e
3
(v)
(
2
e
4
+
8
e
3
+
5
e
2
+
6
e
+
7
)
Question
11
11.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
7
r
4
+
6
r
3
+
r
)
(ii)
(
9
r
3
+
2
r
)
(iii)
(
−
9
r
2
)
(iv)
(
4
r
4
+
8
r
3
+
7
r
2
+
6
r
−
2
)
(v)
(
−
6
r
4
+
8
r
3
−
r
2
−
4
r
−
8
)
Question
12
12.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
5
n
4
+
5
n
3
)
(ii)
(
−
6
n
2
)
(iii)
(
−
4
n
4
+
5
n
3
+
4
n
2
+
8
n
−
8
)
(iv)
(
4
n
3
+
7
n
+
9
)
(v)
(
−
3
)
Question
13
13.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
−
9
h
4
+
6
h
3
)
(ii)
(
3
h
4
+
2
h
3
+
4
h
2
)
(iii)
0
(iv)
(
8
h
4
+
8
h
3
+
7
h
2
+
8
h
−
4
)
(v)
6
h
3
Question
14
14.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
6
h
5
+
6
h
4
+
6
h
3
+
9
h
2
−
1
)
(ii)
(
3
h
3
+
4
h
2
+
h
−
7
)
(iii)
(
−
7
)
(iv)
(
−
3
h
+
5
)
(v)
(
2
h
2
−
5
h
−
3
)
Question
15
15.
Which of the following algebraic expressions is a linear polynomial?
(i)
(
3
b
3
−
4
b
2
−
9
b
+
5
)
(ii)
(
3
b
2
−
8
b
+
2
)
(iii)
(
2
b
+
5
)
(iv)
(
−
5
b
5
+
3
b
3
+
7
b
2
−
9
b
−
1
)
(v)
(
−
2
)
Question
16
16.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
−
8
y
5
−
7
y
4
+
9
y
3
−
9
y
+
4
)
(ii)
(
8
y
2
+
8
y
+
1
)
(iii)
8
(iv)
(
−
y
3
−
6
y
2
−
9
y
+
9
)
(v)
(
9
y
+
7
)
Question
17
17.
Which of the following algebraic expressions is a cubic polynomial?
(i)
(
−
9
p
4
−
7
p
3
−
9
p
2
−
4
p
−
3
)
(ii)
(
−
3
p
3
−
6
p
2
−
p
−
9
)
(iii)
(
−
5
p
−
1
)
(iv)
(
8
p
2
−
9
p
+
4
)
(v)
8
Question
18
18.
The degree of polynomial
(
−
6
v
w
−
14
v
−
5
w
+
5
)
is
(i)
1
(ii)
4
(iii)
2
(iv)
3
(v)
(-1)
Question
19
19.
The degree of polynomial
(
−
4
q
2
r
2
−
6
q
r
+
5
r
2
+
10
r
)
is
(i)
3
(ii)
5
(iii)
1
(iv)
4
(v)
7
Question
20
20.
The degree of polynomial
(
−
4
w
2
x
y
2
+
4
w
2
y
−
3
w
2
−
8
x
y
+
3
y
2
)
is
(i)
6
(ii)
7
(iii)
4
(iv)
3
(v)
5
Question
21
21.
The degree of polynomial
(
−
e
3
f
g
3
−
8
e
3
g
2
+
4
e
2
f
2
g
2
−
9
e
2
g
2
−
2
e
f
2
g
+
4
e
g
2
+
9
f
g
3
)
is
(i)
8
(ii)
4
(iii)
9
(iv)
6
(v)
7
Question
22
22.
The coefficient of term
b
c
in polynomial
(
−
3
b
c
−
3
b
−
6
c
+
5
)
is
(i)
0
(ii)
-6
(iii)
-3
(iv)
-4
(v)
-2
Question
23
23.
The coefficient of term
t
2
in polynomial
(
−
5
t
2
−
7
t
−
7
u
2
+
8
)
is
(i)
-5
(ii)
-2
(iii)
-8
(iv)
-6
(v)
-4
Question
24
24.
The coefficient of term
k
l
2
m
in polynomial
(
−
3
k
2
l
m
−
6
k
l
2
m
−
9
k
l
+
4
k
m
2
−
9
k
m
)
is
(i)
-5
(ii)
-9
(iii)
-7
(iv)
-6
(v)
-4
Question
25
25.
The coefficient of term
n
3
o
3
p
2
in polynomial
(
8
n
3
o
3
p
3
−
4
n
3
o
3
p
2
+
9
n
3
p
+
9
n
2
+
8
n
o
3
p
−
9
n
o
2
p
+
o
2
)
is
(i)
-5
(ii)
-6
(iii)
-3
(iv)
-4
(v)
-2
Question
26
26.
Which of the following algebraic expressions is a monomial?
(i)
7
x
2
y
3
z
(ii)
(
−
6
x
3
y
z
3
−
3
x
)
(iii)
(
−
8
x
3
y
−
6
x
2
y
2
−
3
x
y
2
z
)
(iv)
(
−
4
x
3
y
3
z
2
+
3
x
y
3
z
−
4
x
y
+
5
x
)
(v)
(
−
x
z
3
−
x
−
6
y
2
z
+
5
z
2
)
Question
27
27.
Which of the following algebraic expressions is a binomial?
(i)
(
o
2
p
q
3
−
2
o
p
2
q
3
−
o
p
2
q
2
+
3
p
)
(ii)
(
−
8
o
3
p
2
q
2
+
6
q
3
+
6
q
2
)
(iii)
(
−
4
o
3
p
2
q
+
8
o
2
p
−
6
o
p
q
3
−
4
p
q
3
)
(iv)
5
o
2
p
q
3
(v)
(
−
5
o
3
p
3
−
7
o
q
3
)
Question
28
28.
Which of the following algebraic expressions is a trinomial?
(i)
(
3
g
2
i
3
−
8
g
h
2
i
3
−
7
h
)
(ii)
(
−
h
i
3
+
7
h
i
2
)
(iii)
6
g
3
h
3
i
3
(iv)
(
8
g
3
h
i
3
+
2
g
3
h
i
2
−
3
g
h
2
i
+
9
h
2
i
)
(v)
(
6
g
3
h
3
i
2
−
3
h
2
−
4
h
i
2
+
6
)
Question
29
29.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
4
p
2
+
4
q
2
−
1
)
(ii)
(
−
p
2
q
3
r
3
−
7
)
(iii)
(
−
5
)
(iv)
(
4
p
3
q
r
2
−
3
p
q
−
7
p
−
6
q
2
r
)
(v)
p
2
q
r
2
Question
30
30.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
8
t
3
u
2
v
2
+
t
3
v
3
+
4
t
v
3
)
(ii)
9
t
u
3
v
2
(iii)
(
2
t
3
u
v
+
5
t
2
u
3
v
−
3
t
v
3
−
8
t
v
)
(iv)
(
9
t
3
u
2
v
3
+
t
2
u
3
v
3
)
(v)
0
Question
31
31.
Which of the following are polynomials?
a)
(
x
+
y
)
b)
(
x
+
y
)
(
x
−
y
)
c)
x
2
+
1
x
2
d)
x
+
1
x
e)
x
2
(i)
{d,b,a}
(ii)
{c,e}
(iii)
{c,e,a}
(iv)
{b,a}
(v)
{a,e}
Question
32
32.
Which of the following are not polynomials?
a)
x
+
1
x
b)
(
7
x
+
4
y
)
(
10
x
−
10
y
)
c)
121
x
2
d)
(
7
x
+
4
y
)
e)
(
70
x
2
−
30
x
y
−
40
y
2
)
(i)
{a,b}
(ii)
{d,b,a}
(iii)
{c,a}
(iv)
{d,b}
(v)
{e,c,a}
Question
33
33.
Which of the following are not polynomials?
a)
√x
b)
16
x
2
+
1
16
x
2
c)
(
x
−
7
y
)
d)
(
7
x
+
3
y
)
e)
16
x
2
(i)
{d,b,a}
(ii)
{e,c,a}
(iii)
{c,a}
(iv)
{a,b}
(v)
{d,b}
Question
34
34.
Which of the following are not polynomials?
a)
(
4
x
−
7
y
)
b)
x
2
c)
(
9
x
+
7
y
)
(
4
x
−
7
y
)
d)
√x
e)
(
36
x
2
−
35
x
y
−
49
y
2
)
(i)
{b,d,c}
(ii)
{e,a,c}
(iii)
{a,c}
(iv)
{c,d}
(v)
{b,d}
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (ii)
5) (ii)
6) (ii)
7) (iv)
8) (iii)
9) (iv)
10) (i)
11) (i)
12) (v)
13) (iii)
14) (iii)
15) (iii)
16) (ii)
17) (ii)
18) (iii)
19) (iv)
20) (v)
21) (v)
22) (iii)
23) (i)
24) (iv)
25) (iv)
26) (i)
27) (v)
28) (i)
29) (iii)
30) (v)
31) (v)
32) (i)
33) (iv)
34) (iv)
