EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The degree of the polynomial
(
2
u
−
8
)
is
(i)
2
(ii)
(-1)
(iii)
0
(iv)
1
(v)
3
Question
2
2.
The degree of the polynomial
(
−
r
2
+
3
r
−
3
)
is
(i)
1
(ii)
(-1)
(iii)
5
(iv)
3
(v)
2
Question
3
3.
The degree of the polynomial
(
3
z
4
−
2
z
+
8
)
is
(i)
5
(ii)
1
(iii)
7
(iv)
3
(v)
4
Question
4
4.
The degree of the polynomial
(
5
x
5
−
4
x
4
+
2
x
3
−
4
x
+
3
)
is
(i)
4
(ii)
8
(iii)
2
(iv)
6
(v)
5
Question
5
5.
The coefficient of term
v
in polynomial
(
−
v
−
1
)
is
(i)
2
(ii)
0
(iii)
-1
(iv)
-2
(v)
-4
Question
6
6.
The coefficient of term
i
2
in polynomial
(
4
i
2
+
6
i
+
9
)
is
(i)
1
(ii)
3
(iii)
4
(iv)
6
(v)
5
Question
7
7.
The coefficient of term
a
3
in polynomial
(
−
8
a
3
+
2
a
2
+
4
a
+
5
)
is
(i)
-9
(ii)
-5
(iii)
-8
(iv)
-10
(v)
-7
Question
8
8.
The coefficient of term
c
4
in polynomial
(
7
c
4
+
3
c
3
−
5
c
2
−
c
−
4
)
is
(i)
10
(ii)
5
(iii)
8
(iv)
6
(v)
7
Question
9
9.
Which of the following algebraic expressions is a monomial?
(i)
(
−
6
b
4
−
b
3
)
(ii)
(
9
b
2
+
6
b
+
4
)
(iii)
(
−
5
b
3
)
(iv)
(
9
b
4
−
2
b
3
−
5
b
2
−
7
b
−
9
)
(v)
(
9
b
4
−
2
b
3
+
4
b
2
−
4
b
−
2
)
Question
10
10.
Which of the following algebraic expressions is a binomial?
(i)
(
−
4
t
4
)
(ii)
(
−
7
t
4
−
7
t
)
(iii)
(
−
7
t
4
+
7
t
3
+
6
t
2
+
t
−
6
)
(iv)
(
−
5
t
4
−
7
t
3
−
6
t
2
−
2
t
+
6
)
(v)
(
−
6
t
4
−
9
t
3
+
t
2
)
Question
11
11.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
7
f
4
+
3
f
3
−
5
f
2
+
4
f
+
8
)
(ii)
(
−
3
f
3
)
(iii)
(
2
f
4
+
9
f
3
−
7
f
2
)
(iv)
(
8
f
4
+
5
f
3
+
9
f
2
+
6
f
+
6
)
(v)
(
5
f
4
+
9
f
)
Question
12
12.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
2
i
4
+
7
i
3
+
8
i
2
−
8
i
+
5
)
(ii)
5
(iii)
(
i
4
−
3
i
)
(iv)
(
−
5
i
2
−
6
i
−
8
)
(v)
4
i
2
Question
13
13.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
6
n
−
6
)
(ii)
6
n
(iii)
(
7
n
4
−
n
3
−
5
n
2
)
(iv)
(
−
9
n
4
+
3
n
3
+
n
2
+
7
n
−
2
)
(v)
0
Question
14
14.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
4
)
(ii)
(
−
6
u
+
9
)
(iii)
(
7
u
3
−
2
u
2
+
2
u
−
7
)
(iv)
(
−
6
u
5
−
8
u
4
−
6
u
3
+
5
u
−
9
)
(v)
(
−
7
u
2
+
5
u
−
2
)
Question
15
15.
Which of the following algebraic expressions is a linear polynomial?
(i)
(
6
z
3
−
5
z
2
−
8
z
+
4
)
(ii)
6
(iii)
(
6
z
2
+
8
z
−
4
)
(iv)
(
6
z
−
1
)
(v)
(
6
z
5
+
2
z
4
−
8
z
3
−
6
z
2
+
2
)
Question
16
16.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
8
m
2
+
4
m
+
6
)
(ii)
(
4
m
3
+
3
m
2
+
4
m
+
7
)
(iii)
(
−
8
)
(iv)
(
4
m
5
−
4
m
4
−
9
m
2
+
m
+
3
)
(v)
(
−
9
m
−
9
)
Question
17
17.
Which of the following algebraic expressions is a cubic polynomial?
(i)
9
(ii)
(
7
h
5
−
4
h
4
−
3
h
3
+
6
h
2
−
8
h
)
(iii)
(
7
h
3
+
3
h
2
+
7
h
−
7
)
(iv)
(
−
6
h
2
−
5
h
+
4
)
(v)
(
−
5
h
+
4
)
Question
18
18.
The degree of polynomial
(
−
8
a
b
−
5
a
−
15
b
−
1
)
is
(i)
0
(ii)
4
(iii)
2
(iv)
3
(v)
1
Question
19
19.
The degree of polynomial
(
9
u
2
v
2
−
9
u
−
7
v
2
+
3
v
)
is
(i)
5
(ii)
2
(iii)
3
(iv)
7
(v)
4
Question
20
20.
The degree of polynomial
(
3
w
2
x
2
y
2
−
w
2
x
2
y
+
9
w
x
y
2
+
4
w
y
+
6
x
y
)
is
(i)
5
(ii)
7
(iii)
3
(iv)
6
(v)
9
Question
21
21.
The degree of polynomial
(
−
2
u
3
v
2
w
3
−
3
u
2
v
2
w
2
−
u
2
v
w
−
7
u
2
+
5
u
v
2
w
3
−
4
v
w
−
4
w
)
is
(i)
9
(ii)
8
(iii)
7
(iv)
6
(v)
11
Question
22
22.
The coefficient of term
c
in polynomial
(
−
9
b
c
+
6
b
−
6
c
+
2
)
is
(i)
-7
(ii)
-6
(iii)
-5
(iv)
-9
(v)
-4
Question
23
23.
The coefficient of term
r
2
in polynomial
(
r
2
s
2
+
5
r
2
s
−
2
r
2
+
8
r
)
is
(i)
0
(ii)
-4
(iii)
-3
(iv)
-1
(v)
-2
Question
24
24.
The coefficient of term
p
2
q
in polynomial
(
9
o
2
p
2
+
8
o
2
p
q
+
8
o
p
2
+
2
o
q
+
9
p
2
q
)
is
(i)
12
(ii)
7
(iii)
10
(iv)
8
(v)
9
Question
25
25.
The coefficient of term
k
3
l
2
m
3
in polynomial
(
4
k
3
l
2
m
3
−
4
k
3
l
+
k
3
m
2
+
k
2
l
2
m
2
−
7
k
2
l
m
−
3
k
l
3
m
2
−
k
l
3
)
is
(i)
1
(ii)
6
(iii)
3
(iv)
4
(v)
5
Question
26
26.
Which of the following algebraic expressions is a monomial?
(i)
(
−
6
n
2
o
3
p
3
)
(ii)
(
6
n
3
o
p
3
−
9
n
2
o
2
p
3
−
o
3
p
3
+
2
p
3
)
(iii)
(
−
6
n
2
o
3
p
3
+
9
o
2
)
(iv)
(
8
n
3
o
3
p
2
+
2
n
o
2
p
−
3
n
o
)
(v)
(
−
5
n
3
o
3
p
3
+
6
n
3
o
2
p
+
7
n
o
3
p
3
−
2
n
o
2
p
3
)
Question
27
27.
Which of the following algebraic expressions is a binomial?
(i)
(
−
7
d
e
f
2
+
e
2
f
2
)
(ii)
(
2
d
3
e
2
f
3
−
3
d
e
3
f
3
+
8
d
e
2
f
3
)
(iii)
(
−
7
d
e
2
f
3
)
(iv)
(
−
8
d
2
e
f
2
+
3
d
2
f
+
7
d
e
2
f
3
+
8
e
3
)
(v)
(
2
d
3
e
2
f
3
+
6
d
3
f
2
−
7
d
2
e
f
−
3
d
2
f
2
)
Question
28
28.
Which of the following algebraic expressions is a trinomial?
(i)
4
c
3
d
2
e
3
(ii)
(
5
c
3
d
3
e
2
−
d
3
e
2
)
(iii)
(
5
c
3
d
2
e
2
−
3
c
2
d
+
2
e
)
(iv)
(
6
c
3
d
3
e
2
−
5
c
3
d
e
+
4
d
3
e
2
−
5
d
e
)
(v)
(
−
c
3
d
e
3
+
3
c
3
d
+
9
c
e
3
−
6
c
e
2
)
Question
29
29.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
−
7
u
2
v
3
w
3
+
3
u
2
w
2
)
(ii)
3
(iii)
(
9
u
2
v
+
9
u
v
2
w
+
w
2
)
(iv)
(
−
4
u
3
v
3
w
2
)
(v)
(
5
u
3
v
w
3
+
6
u
3
w
2
−
u
2
v
2
+
2
u
v
3
w
)
Question
30
30.
Which of the following algebraic expressions is a zero polynomial?
(i)
w
3
x
3
y
2
(ii)
(
2
w
3
y
2
+
3
w
x
y
2
)
(iii)
(
−
4
w
2
x
3
y
3
+
9
w
x
3
y
2
−
8
y
2
)
(iv)
(
7
w
2
−
7
x
y
3
+
2
y
2
−
y
)
(v)
0
Question
31
31.
Which of the following are true?
a)
If (x - a) is a factor of f(x), then f(a) = 0
b)
A polynomial of degree n has atmost n zeros
c)
If (x + a) is a factor of f(x), then f(a) = 0
d)
Zero of a polynomial and zero polynomial are synonymous
e)
Zero of a polynomial and root of the polynomial are synonymous
f)
A linear polynomial in one variable has only one root
g)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
(i)
{c,a}
(ii)
{c,d,e}
(iii)
{c,f,g}
(iv)
{a,b,e,f,g}
(v)
{d,b}
Question
32
32.
Which of the following are true?
a)
A binomial may have degree 3
b)
Degree of zero polynomial is zero
c)
Every polynomial is a binomial
d)
A binomial has two and only two terms
e)
π
r
2
is a monomial
(i)
{b,a}
(ii)
{a,d,e}
(iii)
{b,c,e}
(iv)
{c,d}
(v)
{b,a,d}
Question
33
33.
Which of the following are polynomials?
a)
(
x
+
y
)
b)
x
+
1
x
c)
x
2
+
1
x
2
d)
(
x
+
y
)
(
x
−
y
)
e)
x
2
(i)
{b,a}
(ii)
{c,e}
(iii)
{a,e}
(iv)
{d,b,a}
(v)
{c,e,a}
Question
34
34.
Which of the following are not polynomials?
a)
(
6
x
+
6
y
)
b)
(
6
x
+
6
y
)
(
x
−
2
y
)
c)
36
x
2
d)
(
6
x
2
−
6
x
y
−
12
y
2
)
e)
x
+
1
x
(i)
{b,e}
(ii)
{d,a,b}
(iii)
{c,e,b}
(iv)
{c,e}
(v)
{a,b}
Question
35
35.
Which of the following are not polynomials?
a)
9
x
2
b)
9
x
2
+
1
9
x
2
c)
(
11
x
−
4
y
)
d)
√x
e)
(
12
x
+
9
y
)
(i)
{b,d}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{c,d,b}
(v)
{e,a,b}
Question
36
36.
Which of the following are not polynomials?
a)
(
5
x
+
10
y
)
(
10
x
−
4
y
)
b)
√x
c)
(
10
x
−
4
y
)
d)
144
x
2
e)
(
50
x
2
+
80
x
y
−
40
y
2
)
(i)
{e,c,a}
(ii)
{d,b,a}
(iii)
{c,a}
(iv)
{d,b}
(v)
{a,b}
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (v)
5) (iii)
6) (iii)
7) (iii)
8) (v)
9) (iii)
10) (ii)
11) (iii)
12) (ii)
13) (v)
14) (i)
15) (iv)
16) (i)
17) (iii)
18) (iii)
19) (v)
20) (iv)
21) (ii)
22) (ii)
23) (v)
24) (v)
25) (iv)
26) (i)
27) (i)
28) (iii)
29) (ii)
30) (v)
31) (iv)
32) (ii)
33) (iii)
34) (i)
35) (i)
36) (v)
