EduSahara™ Assignment
Name : Factorisation Miscellaneous
Chapter : Factorisation
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
Every polynomial is a binomial
b)
A binomial has two and only two terms
c)
A binomial may have degree 3
d)
π
r
2
is a monomial
e)
Degree of zero polynomial is zero
(i)
{a,e,d}
(ii)
{a,b,c}
(iii)
{a,b}
(iv)
{e,c}
(v)
{b,c,d}
Question
2
2.
Which of the following are polynomials?
a)
(
x
+
y
)
b)
x
2
+
1
x
2
c)
x
2
d)
x
+
1
x
e)
(
x
+
y
)
(
x
−
y
)
(i)
{b,a}
(ii)
{e,b,a}
(iii)
{d,c,a}
(iv)
{d,c}
(v)
{a,c}
Question
3
3.
Which of the following are not polynomials?
a)
(
8
x
+
7
y
)
b)
(
8
x
+
7
y
)
(
11
x
−
3
y
)
c)
64
x
2
d)
(
88
x
2
+
53
x
y
−
21
y
2
)
e)
x
+
1
x
(i)
{c,e,b}
(ii)
{c,e}
(iii)
{b,e}
(iv)
{d,a,b}
(v)
{a,b}
Question
4
4.
Which of the following are not polynomials?
a)
(
10
x
+
3
y
)
b)
144
x
2
+
1
144
x
2
c)
144
x
2
d)
√x
e)
(
11
x
−
y
)
(i)
{a,b}
(ii)
{c,d}
(iii)
{b,d}
(iv)
{e,a,b}
(v)
{c,d,b}
Question
5
5.
Which of the following are not polynomials?
a)
√x
b)
(
9
x
2
+
78
x
y
−
27
y
2
)
c)
(
x
+
9
y
)
(
9
x
−
3
y
)
d)
(
9
x
−
3
y
)
e)
36
x
2
(i)
{e,b,a}
(ii)
{d,c,a}
(iii)
{b,a}
(iv)
{d,c}
(v)
{a,c}
Question
6
6.
Which of the following is a factor of
43
x
3
y
z
3
?
(i)
x
2
y
2
z
2
(ii)
x
3
z
4
(iii)
x
4
z
2
(iv)
x
2
z
4
(v)
x
2
z
2
Question
7
7.
Which of the following is not a factor of
15
x
2
y
4
z
5
?
(i)
3
x
y
4
z
5
(ii)
3
y
2
(iii)
3
x
2
y
5
z
5
(iv)
3
x
2
y
4
z
4
(v)
3
x
2
y
3
z
5
Question
8
8.
Which of the following is a factor of
(
4
x
+
y
2
z
)
?
(i)
y
2
z
(ii)
4
x
z
(iii)
4
x
(iv)
no factors
(v)
4
y
Question
9
9.
Which of the following is an irreducible factor of
19
x
5
y
4
z
3
?
(i)
x
2
y
(ii)
x
z
2
(iii)
y
(iv)
x
2
y
2
z
2
(v)
y
2
z
Question
10
10.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
x
y
(ii)
y
(iii)
x
(iv)
(
x
+
y
+
1
)
Question
11
11.
m
4
=
(i)
4
✕
m
✕
m
✕
m
✕
m
(ii)
m
✕
m
✕
m
✕
m
(iii)
m
✕
m
✕
m
(iv)
−
m
✕
m
✕
m
✕
m
(v)
m
✕
m
✕
m
✕
m
✕
m
Question
12
12.
a
3
b
4
=
(i)
-2
✕
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
(ii)
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
(iii)
4
✕
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
(iv)
a
✕
a
✕
a
✕
a
✕
b
✕
b
✕
b
✕
b
(v)
a
✕
a
✕
b
✕
b
✕
b
✕
b
Question
13
13.
f
4
g
2
h
2
=
(i)
f
✕
f
✕
f
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
(ii)
-2
✕
f
✕
f
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
(iii)
f
✕
f
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
(iv)
f
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
(v)
4
✕
f
✕
f
✕
f
✕
f
✕
g
✕
g
✕
h
✕
h
Question
14
14.
20
✕
m
✕
m
✕
m
=
(i)
20
m
3
(ii)
18
m
3
(iii)
22
m
3
(iv)
20
m
2
(v)
20
m
4
Question
15
15.
7
✕
m
✕
m
✕
m
✕
m
✕
n
✕
n
✕
n
✕
n
=
(i)
10
m
4
n
4
(ii)
7
m
3
n
4
(iii)
5
m
4
n
4
(iv)
7
m
4
n
4
(v)
7
m
5
n
4
Question
16
16.
i
✕
i
✕
j
✕
j
✕
k
✕
k
=
(i)
i
j
2
k
2
(ii)
i
3
j
2
k
2
(iii)
3
i
2
j
2
k
2
(iv)
−
2
i
2
j
2
k
2
(v)
i
2
j
2
k
2
Assignment Key
1) (v)
2) (v)
3) (iii)
4) (iii)
5) (v)
6) (v)
7) (iii)
8) (iv)
9) (iii)
10) (i)
11) (ii)
12) (ii)
13) (iii)
14) (i)
15) (iv)
16) (v)
