EduSahara™ Assignment
Name : Polynomials Miscellaneous
Chapter : Polynomials
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The degree of the polynomial
(
5
t
−
5
)
is
(i)
(-2)
(ii)
3
(iii)
0
(iv)
1
(v)
2
Question
2
2.
The degree of the polynomial
(
e
2
−
5
e
+
9
)
is
(i)
0
(ii)
2
(iii)
3
(iv)
4
(v)
1
Question
3
3.
The degree of the polynomial
(
9
j
4
−
5
j
2
+
7
j
)
is
(i)
3
(ii)
7
(iii)
5
(iv)
1
(v)
4
Question
4
4.
The degree of the polynomial
(
−
2
w
5
−
6
w
4
+
7
w
3
+
5
w
2
+
2
w
)
is
(i)
3
(ii)
8
(iii)
5
(iv)
6
(v)
4
Question
5
5.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
4
q
3
−
3
q
2
−
9
q
+
9
)
(ii)
(
3
q
−
6
)
(iii)
(
−
5
q
5
−
9
q
4
−
8
q
3
−
7
q
−
3
)
(iv)
(
8
q
2
−
5
q
−
4
)
(v)
(
−
2
)
Question
6
6.
Which of the following algebraic expressions is a linear polynomial?
(i)
(
−
3
k
3
−
7
k
2
+
9
k
+
1
)
(ii)
(
k
2
+
7
k
+
1
)
(iii)
(
−
7
k
−
7
)
(iv)
(
−
2
)
(v)
(
6
k
4
−
2
k
3
−
2
k
2
+
5
k
+
1
)
Question
7
7.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
−
2
r
3
−
r
2
+
8
r
+
4
)
(ii)
(
−
8
r
5
+
2
r
4
+
4
r
3
−
6
r
−
3
)
(iii)
(
−
r
2
+
4
r
−
7
)
(iv)
(
−
8
r
+
8
)
(v)
6
Question
8
8.
Which of the following algebraic expressions is a cubic polynomial?
(i)
(
−
q
3
−
3
q
2
−
8
q
+
3
)
(ii)
(
5
q
5
−
5
q
4
+
2
q
3
+
q
+
2
)
(iii)
(
−
2
)
(iv)
(
−
4
q
−
6
)
(v)
(
−
5
q
2
+
4
q
−
9
)
Question
9
9.
The value of the polynomial
(
−
3
k
+
9
)
at
k
=
1
is
(i)
3
(ii)
8
(iii)
7
(iv)
5
(v)
6
Question
10
10.
The value of the polynomial
(
−
9
a
2
−
8
a
−
6
)
at
a
=
(-5)
is
(i)
-194
(ii)
-191
(iii)
-192
(iv)
-190
(v)
-188
Question
11
11.
The value of the polynomial
(
p
3
−
6
p
2
+
4
p
)
at
p
=
4
is
(i)
-16
(ii)
-17
(iii)
-14
(iv)
-15
(v)
-18
Question
12
12.
The value of the polynomial
(
−
3
p
4
+
8
p
3
−
2
p
2
−
9
p
+
9
)
at
p
=
(-5)
is
(i)
-2874
(ii)
-2872
(iii)
-2870
(iv)
-2871
(v)
-2869
Question
13
13.
Which of the following are true?
a)
A linear polynomial in one variable has only one root
b)
If (x - a) is a factor of f(x), then f(a) = 0
c)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
d)
If (x + a) is a factor of f(x), then f(a) = 0
e)
A polynomial of degree n has atmost n zeros
f)
Zero of a polynomial and root of the polynomial are synonymous
g)
Zero of a polynomial and zero polynomial are synonymous
(i)
{g,b}
(ii)
{d,g,c}
(iii)
{d,a}
(iv)
{a,b,c,e,f}
(v)
{d,e,f}
Question
14
14.
Which of the following are true?
a)
π
r
2
is a monomial
b)
Every polynomial is a binomial
c)
A binomial has two and only two terms
d)
A binomial may have degree 3
e)
Degree of zero polynomial is zero
(i)
{a,c,d}
(ii)
{b,a}
(iii)
{e,c}
(iv)
{b,a,c}
(v)
{b,e,d}
Question
15
15.
Which of the following are polynomials?
a)
x
+
1
x
b)
(
x
+
y
)
(
x
−
y
)
c)
x
2
d)
x
2
+
1
x
2
e)
(
x
+
y
)
(i)
{c,e}
(ii)
{b,e}
(iii)
{b,e,c}
(iv)
{d,a,c}
(v)
{a,c}
Question
16
16.
Which of the following are not polynomials?
a)
(
2
x
+
3
y
)
(
12
x
−
2
y
)
b)
x
+
1
x
c)
(
24
x
2
+
32
x
y
−
6
y
2
)
d)
25
x
2
e)
(
2
x
+
3
y
)
(i)
{c,a}
(ii)
{a,b}
(iii)
{e,c,a}
(iv)
{d,b,a}
(v)
{d,b}
Question
17
17.
Which of the following are not polynomials?
a)
(
5
x
−
5
y
)
b)
144
x
2
+
1
144
x
2
c)
144
x
2
d)
(
7
x
+
9
y
)
e)
√x
(i)
{c,e,b}
(ii)
{a,b}
(iii)
{b,e}
(iv)
{c,e}
(v)
{d,a,b}
Question
18
18.
Which of the following are not polynomials?
a)
(
99
x
2
+
38
x
y
−
80
y
2
)
b)
121
x
2
c)
(
11
x
−
8
y
)
d)
√x
e)
(
9
x
+
10
y
)
(
11
x
−
8
y
)
(i)
{b,e,d}
(ii)
{a,d}
(iii)
{c,a,d}
(iv)
{b,e}
(v)
{d,e}
Question
19
19.
Given
f
(
k
)
=
(
9
k
+
7
)
,
find
f
(
1
)
(i)
15
(ii)
17
(iii)
18
(iv)
14
(v)
16
Question
20
20.
Given
f
(
v
)
=
(
−
6
v
2
+
5
v
−
1
)
,
find
f
(
3
)
(i)
-40
(ii)
-38
(iii)
-41
(iv)
-39
(v)
-42
Question
21
21.
Given
f
(
x
)
=
(
3
x
3
−
2
x
2
−
9
x
)
,
find
f
(
2
)
(i)
-1
(ii)
-4
(iii)
0
(iv)
-2
(v)
-3
Question
22
22.
Given
f
(
i
)
=
(
−
5
i
4
−
6
i
3
−
2
i
2
−
5
i
+
3
)
,
find
f
(
0
)
(i)
0
(ii)
3
(iii)
4
(iv)
2
(v)
5
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (iii)
5) (v)
6) (iii)
7) (iii)
8) (i)
9) (v)
10) (ii)
11) (i)
12) (iv)
13) (iv)
14) (i)
15) (i)
16) (ii)
17) (iii)
18) (v)
19) (v)
20) (i)
21) (iv)
22) (ii)
