EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
The degree of the polynomial
(
3
g
+
4
)
is
(i)
(-1)
(ii)
0
(iii)
1
(iv)
2
(v)
4
Question
2
2.
The degree of the polynomial
(
−
2
d
2
−
2
d
−
9
)
is
(i)
0
(ii)
3
(iii)
4
(iv)
2
(v)
1
Question
3
3.
The degree of the polynomial
(
−
8
b
3
+
2
b
2
+
7
)
is
(i)
3
(ii)
4
(iii)
0
(iv)
2
(v)
5
Question
4
4.
The degree of the polynomial
(
−
9
f
4
+
2
f
3
+
f
2
−
5
f
−
7
)
is
(i)
7
(ii)
5
(iii)
4
(iv)
1
(v)
3
Question
5
5.
The coefficient of term
t
in polynomial
(
t
−
5
)
is
(i)
1
(ii)
2
(iii)
-1
(iv)
4
(v)
0
Question
6
6.
The constant term in polynomial
(
7
m
2
−
m
−
5
)
is
(i)
-8
(ii)
-5
(iii)
-4
(iv)
-6
(v)
-2
Question
7
7.
The coefficient of term
u
2
in polynomial
(
−
9
u
3
−
4
u
2
−
5
u
−
2
)
is
(i)
-4
(ii)
-6
(iii)
-3
(iv)
-5
(v)
-2
Question
8
8.
The coefficient of term
k
in polynomial
(
−
5
k
4
+
5
k
3
+
k
2
−
2
k
−
1
)
is
(i)
1
(ii)
-2
(iii)
-3
(iv)
-5
(v)
-1
Question
9
9.
Which of the following algebraic expressions is a monomial?
(i)
(
−
t
4
+
t
3
−
7
t
2
+
2
t
+
5
)
(ii)
(
−
3
t
2
+
7
t
)
(iii)
(
2
t
4
−
9
t
+
6
)
(iv)
(
t
4
−
7
t
3
−
t
2
+
7
t
−
3
)
(v)
6
t
4
Question
10
10.
Which of the following algebraic expressions is a binomial?
(i)
(
9
p
4
−
2
p
3
−
2
p
2
+
8
p
+
5
)
(ii)
2
p
2
(iii)
(
−
6
p
4
−
2
p
3
−
p
2
−
7
p
−
3
)
(iv)
(
8
p
2
+
3
p
)
(v)
(
8
p
4
+
5
p
−
4
)
Question
11
11.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
4
e
4
+
7
e
3
+
2
e
2
−
7
e
+
5
)
(ii)
(
−
6
e
2
−
2
e
)
(iii)
(
−
2
e
4
+
9
e
2
+
4
e
)
(iv)
(
−
4
e
2
)
(v)
(
2
e
4
+
7
e
3
−
9
e
2
+
2
e
+
8
)
Question
12
12.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
3
f
4
+
3
f
3
+
5
f
2
+
6
f
+
6
)
(ii)
(
−
8
f
4
)
(iii)
(
−
9
)
(iv)
(
−
7
f
3
−
5
)
(v)
(
−
7
f
4
+
2
f
2
+
9
)
Question
13
13.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
4
j
4
+
j
3
−
j
2
−
6
j
−
8
)
(ii)
(
4
j
4
−
7
j
2
+
5
j
)
(iii)
(
−
2
j
4
+
7
j
)
(iv)
0
(v)
2
j
3
Question
14
14.
Which of the following terms is a like term of
(
−
2
r
2
)
?
(i)
(
−
3
r
2
)
(ii)
6
r
3
(iii)
(
−
4
)
(iv)
8
r
4
(v)
r
Question
15
15.
Which of the following terms is a like term of
5
m
2
?
(i)
8
m
4
(ii)
(
−
8
m
)
(iii)
(
−
3
m
3
)
(iv)
(
−
2
m
2
)
(v)
3
Question
16
16.
Which of the following terms is a like term of
4
d
2
?
(i)
(
−
6
d
2
)
(ii)
(
−
7
d
)
(iii)
3
d
3
(iv)
4
d
4
(v)
6
Question
17
17.
The degree of polynomial
(
−
7
o
p
−
7
o
−
9
p
−
8
)
is
(i)
2
(ii)
1
(iii)
(-1)
(iv)
4
(v)
3
Question
18
18.
The degree of polynomial
(
−
5
q
2
r
2
+
9
q
r
+
5
q
+
4
r
)
is
(i)
2
(ii)
5
(iii)
3
(iv)
4
(v)
7
Question
19
19.
The degree of polynomial
(
2
t
2
u
−
7
t
u
−
4
u
2
v
+
9
u
v
+
3
v
2
)
is
(i)
0
(ii)
6
(iii)
2
(iv)
4
(v)
3
Question
20
20.
The degree of polynomial
(
6
x
3
y
2
z
3
+
3
x
3
y
2
−
4
x
3
y
z
3
+
4
x
3
y
−
x
2
z
−
6
x
y
3
z
3
+
2
y
2
)
is
(i)
11
(ii)
8
(iii)
7
(iv)
9
(v)
5
Question
21
21.
The coefficient of term
v
in polynomial
(
5
v
w
+
2
v
+
8
w
+
5
)
is
(i)
0
(ii)
3
(iii)
5
(iv)
2
(v)
1
Question
22
22.
The coefficient of term
u
2
in polynomial
(
−
3
t
2
u
−
9
t
2
+
5
u
2
−
3
)
is
(i)
4
(ii)
5
(iii)
6
(iv)
3
(v)
8
Question
23
23.
The coefficient of term
c
d
in polynomial
(
−
c
2
d
e
2
+
8
c
d
e
2
+
9
c
d
−
7
d
2
+
7
d
e
)
is
(i)
10
(ii)
9
(iii)
7
(iv)
8
(v)
11
Question
24
24.
The coefficient of term
u
2
v
3
w
3
in polynomial
(
u
3
v
+
8
u
2
v
3
w
3
−
6
u
2
v
2
−
9
u
2
v
−
8
u
v
w
+
5
u
w
2
+
9
w
)
is
(i)
9
(ii)
10
(iii)
6
(iv)
8
(v)
7
Question
25
25.
Which of the following algebraic expressions is a monomial?
(i)
(
8
e
3
f
2
g
−
6
e
f
g
)
(ii)
(
−
2
e
f
3
−
f
2
g
−
4
f
2
)
(iii)
(
−
4
e
f
3
g
)
(iv)
(
9
e
3
f
+
9
e
f
2
g
3
+
3
g
3
+
9
g
)
(v)
(
5
e
3
f
3
g
2
+
8
f
g
2
−
3
g
2
−
9
g
)
Question
26
26.
Which of the following algebraic expressions is a binomial?
(i)
(
4
i
3
j
3
k
2
+
7
i
3
j
2
k
2
−
8
i
j
k
3
+
2
i
j
k
)
(ii)
(
−
3
i
3
j
k
2
)
(iii)
(
−
i
3
j
2
k
2
+
4
i
3
j
k
3
)
(iv)
(
3
i
j
3
k
+
2
i
−
4
j
2
k
3
+
5
j
k
3
)
(v)
(
3
i
3
j
3
−
7
i
3
j
k
+
4
k
2
)
Question
27
27.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
8
v
3
w
2
x
2
−
9
v
2
w
3
x
+
4
v
w
+
9
v
x
3
)
(ii)
7
v
3
w
3
x
3
(iii)
(
3
v
w
x
2
−
6
v
x
)
(iv)
(
−
4
v
3
w
3
−
3
v
3
w
+
9
w
2
x
3
)
(v)
(
3
v
3
w
2
x
2
+
3
v
w
3
x
−
5
v
w
2
x
+
8
w
3
x
2
)
Question
28
28.
Which of the following algebraic expressions is a constant polynomial?
(i)
7
k
2
l
3
m
3
(ii)
(
−
2
k
3
l
m
3
+
3
k
2
l
2
+
6
l
m
3
)
(iii)
(
4
k
3
l
3
m
2
−
8
k
2
l
2
m
3
)
(iv)
(
−
5
)
(v)
(
6
k
3
l
3
m
−
3
k
3
l
2
m
−
9
k
−
6
l
2
m
2
)
Question
29
29.
Which of the following is a like term of
6
t
u
?
(i)
t
2
(ii)
5
t
2
u
(iii)
(
−
9
t
)
(iv)
5
t
u
(v)
(
−
2
t
2
u
2
)
Question
30
30.
Which of the following is a like term of
(
−
9
x
)
?
(i)
4
w
2
x
y
2
(ii)
(
−
9
w
2
x
2
y
)
(iii)
9
w
x
2
y
2
(iv)
(
−
3
x
)
(v)
9
w
2
y
2
Question
31
31.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
8
r
2
s
2
−
r
−
2
s
3
t
2
−
7
s
t
)
(ii)
(
−
8
r
2
+
5
r
s
3
−
8
)
(iii)
(
−
r
2
s
2
t
−
7
r
s
t
)
(iv)
0
(v)
6
r
3
s
t
Question
32
32.
Which of the following is a like term of
8
?
(i)
(
−
k
)
(ii)
l
(iii)
(
−
9
k
m
)
(iv)
(
−
6
)
(v)
(
−
8
l
m
)
Question
33
33.
Which of the following is a like term of
(
−
2
h
i
2
g
2
)
?
(i)
6
g
2
h
i
(ii)
(
−
2
g
h
2
i
)
(iii)
(
−
3
g
h
i
2
)
(iv)
g
2
h
2
i
2
(v)
7
g
2
h
i
2
Question
34
34.
Which of the following is a like term of
(
−
2
i
2
j
2
h
)
?
(i)
(
−
8
h
i
2
j
2
)
(ii)
(
−
6
h
2
i
j
2
)
(iii)
(
−
6
h
i
2
j
)
(iv)
(
−
h
i
j
)
(v)
(
−
3
h
i
j
2
)
Question
35
35.
Which of the following are polynomials?
a)
(
x
+
y
)
(
x
−
y
)
b)
(
x
+
y
)
c)
x
2
d)
x
2
+
1
x
2
e)
x
+
1
x
(i)
{b,c}
(ii)
{d,c}
(iii)
{d,c,b}
(iv)
{a,b}
(v)
{e,a,b}
Question
36
36.
Which of the following are not polynomials?
a)
(
11
x
+
7
y
)
(
10
x
−
6
y
)
b)
(
110
x
2
+
4
x
y
−
42
y
2
)
c)
(
11
x
+
7
y
)
d)
25
x
2
e)
x
+
1
x
(i)
{b,a}
(ii)
{c,e,a}
(iii)
{c,e}
(iv)
{a,e}
(v)
{d,b,a}
Question
37
37.
Which of the following are not polynomials?
a)
36
x
2
b)
36
x
2
+
1
36
x
2
c)
(
5
x
−
6
y
)
d)
√x
e)
(
3
x
+
8
y
)
(i)
{b,d}
(ii)
{e,a,b}
(iii)
{c,d,b}
(iv)
{a,b}
(v)
{c,d}
Question
38
38.
Which of the following are not polynomials?
a)
(
4
x
−
9
y
)
b)
100
x
2
c)
√x
d)
(
8
x
+
10
y
)
(
4
x
−
9
y
)
e)
(
32
x
2
−
32
x
y
−
90
y
2
)
(i)
{b,d}
(ii)
{e,a,c}
(iii)
{c,d}
(iv)
{a,c}
(v)
{b,d,c}
Question
39
39.
Which of the following is a factor of
22
x
y
z
5
?
(i)
x
2
y
z
5
(ii)
x
y
2
z
5
(iii)
x
y
z
5
(iv)
x
y
z
6
Question
40
40.
Which of the following is not a factor of
20
x
3
y
2
z
4
?
(i)
2
z
(ii)
2
x
3
y
z
4
(iii)
2
x
2
y
2
z
4
(iv)
2
x
3
y
2
z
3
(v)
2
x
3
y
3
z
4
Question
41
41.
Which of the following is a factor of
(
3
x
3
+
y
5
z
3
)
?
(i)
y
5
z
3
(ii)
y
3
(iii)
no factors
(iv)
x
z
2
(v)
3
x
3
Question
42
42.
Which of the following is an irreducible factor of
41
x
2
y
4
z
2
?
(i)
y
2
z
(ii)
y
(iii)
x
2
y
2
z
2
(iv)
x
z
2
(v)
x
2
y
Question
43
43.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
x
y
(ii)
x
(iii)
(
x
+
y
+
1
)
(iv)
y
Question
44
44.
Which of the following are polynomials?
a)
(
x
+
y
)
(
x
−
y
)
b)
(
x
+
y
)
c)
x
2
d)
x
+
1
x
e)
x
2
+
1
x
2
(i)
{b,c}
(ii)
{e,a,b}
(iii)
{d,c}
(iv)
{d,c,b}
(v)
{a,b}
Question
45
45.
Which of the following are not polynomials?
a)
(
3
x
+
4
y
)
(
7
x
−
y
)
b)
x
+
1
x
c)
(
3
x
+
4
y
)
d)
(
21
x
2
+
25
x
y
−
4
y
2
)
e)
16
x
2
(i)
{d,b,a}
(ii)
{c,a}
(iii)
{e,c,a}
(iv)
{d,b}
(v)
{a,b}
Question
46
46.
Which of the following are not polynomials?
a)
(
8
x
−
4
y
)
b)
25
x
2
c)
25
x
2
+
1
25
x
2
d)
(
4
x
+
8
y
)
e)
√x
(i)
{d,a,c}
(ii)
{c,e}
(iii)
{b,e,c}
(iv)
{b,e}
(v)
{a,c}
Question
47
47.
Which of the following are not polynomials?
a)
(
48
x
2
−
36
x
y
−
12
y
2
)
b)
√x
c)
(
8
x
+
2
y
)
(
6
x
−
6
y
)
d)
4
x
2
e)
(
6
x
−
6
y
)
(i)
{a,b}
(ii)
{e,a,b}
(iii)
{d,c}
(iv)
{b,c}
(v)
{d,c,b}
Question
48
48.
Which of the following is a factor of
2
x
4
y
2
z
5
?
(i)
x
y
3
z
5
(ii)
x
4
z
6
(iii)
x
z
6
(iv)
x
z
5
(v)
x
5
z
5
Question
49
49.
Which of the following is not a factor of
15
x
3
y
2
z
5
?
(i)
x
3
y
2
z
4
(ii)
x
3
y
3
z
5
(iii)
x
3
y
2
z
(iv)
x
2
y
2
z
5
(v)
x
3
y
z
5
Question
50
50.
Which of the following is a factor of
(
7
x
+
y
2
z
)
?
(i)
7
x
z
(ii)
7
y
(iii)
y
2
z
(iv)
no factors
(v)
7
x
Assignment Key
1) (iii)
2) (iv)
3) (i)
4) (iii)
5) (i)
6) (ii)
7) (i)
8) (ii)
9) (v)
10) (iv)
11) (iii)
12) (iii)
13) (iv)
14) (i)
15) (iv)
16) (i)
17) (i)
18) (iv)
19) (v)
20) (ii)
21) (iv)
22) (ii)
23) (ii)
24) (iv)
25) (iii)
26) (iii)
27) (iv)
28) (iv)
29) (iv)
30) (iv)
31) (iv)
32) (iv)
33) (v)
34) (i)
35) (i)
36) (iv)
37) (i)
38) (iii)
39) (iii)
40) (v)
41) (iii)
42) (ii)
43) (i)
44) (i)
45) (v)
46) (ii)
47) (iv)
48) (iv)
49) (ii)
50) (iv)
