EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Which of the following algebraic expressions is a zero polynomial?
(i)
9
q
2
(ii)
(
q
4
+
4
q
2
+
2
q
)
(iii)
0
(iv)
(
8
q
4
−
4
q
3
+
6
q
2
−
3
q
−
6
)
(v)
(
4
q
3
+
1
)
Question
2
2.
If
α
=
1
2
,
β
=
9
7
,
γ
=
6
7
are the roots of the cubic equation
a
x
3
+
b
x
2
+
c
x
+
d
= 0
,
then find
b
a
(i)
213
98
(ii)
(
−
213
98
)
(iii)
27
49
(iv)
37
14
(v)
(
−
37
14
)
Question
3
3.
Find the table of points that satisfy
the parabola equation
x
=
4
y
2
(i)
x
16
4
0
4
16
y
-2
-1
0
1
2
(ii)
x
16
4
1
4
16
y
-2
-1
-1
1
2
(iii)
x
16
4
-2
4
16
y
-2
-1
-2
1
2
(iv)
x
16
4
0
4
18
y
-2
-1
0
1
4
(v)
x
16
4
0
3
16
y
-2
-1
0
2
2
Question
4
4.
(
36
x
4
+
42
x
3
−
54
x
2
−
42
x
+
18
)
÷
(
18
x
3
−
6
x
2
−
18
x
+
6
)
=
(i)
(
3
x
+
3
)
(ii)
(
2
x
−
3
)
(iii)
(
x
+
3
)
(iv)
(
−
2
x
+
3
)
(v)
(
2
x
+
3
)
Question
5
5.
Which of the following are not polynomials?
a)
(
11
x
+
4
y
)
(
6
x
−
9
y
)
b)
(
66
x
2
−
75
x
y
−
36
y
2
)
c)
x
+
1
x
d)
(
11
x
+
4
y
)
e)
49
x
2
(i)
{a,c}
(ii)
{d,c,a}
(iii)
{b,a}
(iv)
{d,c}
(v)
{e,b,a}
Question
6
6.
Find the table of points that satisfy
the parabola equation
x
=
(
−
2
y
2
−
5
y
−
3
)
(i)
x
-1
0
-3
-10
-19
y
-2
-1
0
1
4
(ii)
x
-1
0
-5
-10
-21
y
-2
-1
-2
1
2
(iii)
x
-1
0
-2
-10
-21
y
-2
-1
-1
1
2
(iv)
x
-1
0
-3
-10
-21
y
-2
-1
0
1
2
(v)
x
-1
0
-3
-11
-21
y
-2
-1
0
2
2
Question
7
7.
The coefficient of term
u
in polynomial
(
8
u
2
−
9
u
−
5
)
is
(i)
-10
(ii)
-7
(iii)
-8
(iv)
-9
(v)
-11
Question
8
8.
(
144
x
4
y
3
+
16
x
3
y
3
)
÷
4
x
2
y
=
(i)
(
36
x
2
y
2
+
4
y
3
)
(ii)
(
36
x
2
y
2
+
4
x
y
3
z
)
(iii)
(
36
x
2
y
2
+
4
x
y
2
)
(iv)
(
36
x
3
y
3
+
4
x
y
2
)
(v)
(
36
x
3
y
4
+
4
x
y
2
)
Question
9
9.
From the following graph of
y = p(x)
, find the number of zeroes of
p(x)
(i)
5
(ii)
(-1)
(iii)
1
(iv)
3
(v)
2
Question
10
10.
Given
f
(
j
)
=
(
−
9
j
2
+
j
+
1
)
,
find
f
(
0
)
(i)
1
(ii)
-1
(iii)
0
(iv)
4
(v)
2
Question
11
11.
The degree of the polynomial
(
8
x
2
−
5
x
−
1
)
is
(i)
5
(ii)
1
(iii)
2
(iv)
(-1)
(v)
3
Question
12
12.
Find the set of points satisfying the equation
y
=
(
−
3
)
(i)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
1
,
(
−
4
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
(ii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
(iii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
(iv)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
1
,
(
−
3
)
)
,
(
4
,
(
−
1
)
)
(v)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
0
,
(
−
2
)
)
,
(
2
,
(
−
3
)
)
Question
13
13.
The value of the polynomial
(
9
t
2
v
2
+
3
v
+
5
)
at
t
=
1
,
u
=
5
,
v
=
0
is
(i)
3
(ii)
4
(iii)
6
(iv)
5
(v)
7
Question
14
14.
The remainder when
(
−
7
z
2
+
8
z
)
is divided by
(
z
−
6
)
is
(i)
(
−
201
)
(ii)
(
−
205
)
(iii)
(
−
204
)
(iv)
(
−
203
)
(v)
(
−
206
)
Question
15
15.
Find the roots of the quadratic equation
(
−
7
x
2
−
5
)
=
0
(i)
(
1
,
1
)
(ii)
(
3
,
0
)
(iii)
(
1
,
0
)
(iv)
no real roots
Question
16
16.
Which of the following are true ?
a)
If p(x) is divided by (x - a), the remainder is p(a)
b)
If p(a) = 0, then (x + a) perfectly divides p(x)
c)
If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
d)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
(i)
{d,c}
(ii)
{b,c,a}
(iii)
{a,c}
(iv)
{b,a}
(v)
{b,d,a}
Question
17
17.
From the following graph of
x = p(y)
, find the roots of
p(y)
(i)
-7, -5 and 7
(ii)
-7, -8 and -2
(iii)
-7, -1 and 2
(iv)
-7, -5 and -2
(v)
-1, -5 and -2
Question
18
18.
Which of the following algebraic expressions is a binomial?
(i)
(
−
5
l
3
+
9
l
2
m
2
n
2
+
7
m
3
n
3
−
6
n
)
(ii)
(
9
l
3
m
3
n
3
−
6
n
2
−
4
)
(iii)
(
7
l
3
m
2
+
9
m
3
n
)
(iv)
(
2
l
2
m
3
n
3
−
9
l
2
m
2
n
−
3
l
m
3
n
3
−
8
m
2
n
)
(v)
6
l
2
m
2
n
2
Question
19
19.
Which of the following algebraic expressions is a monomial?
(i)
(
−
9
s
t
u
)
(ii)
(
−
4
s
3
t
2
+
6
s
3
t
+
s
3
u
3
+
3
s
u
)
(iii)
(
s
3
t
+
2
s
t
2
u
2
)
(iv)
(
6
s
3
t
2
u
2
+
s
t
3
−
3
u
3
)
(v)
(
s
2
t
2
u
−
7
s
2
t
u
3
−
7
t
3
−
2
u
2
)
Question
20
20.
Which of the displayed lines represent the equation
x
=
5
(i)
line with point
P
(ii)
line with point
M
(iii)
line with point
O
(iv)
line with point
N
(v)
line with point
Q
Question
21
21.
Given
f
(
h
)
=
(
2
h
4
+
3
h
3
−
6
h
2
−
h
−
6
)
,
find
f
(
(-4)
)
(i)
224
(ii)
222
(iii)
223
(iv)
221
(v)
219
Question
22
22.
Find the table of points that satisfy
the parabola equation
y
=
(
−
3
x
2
−
6
x
−
3
)
(i)
x
-2
-1
0
0
2
y
-3
0
-3
-11
-27
(ii)
x
-2
-1
-2
1
2
y
-3
0
-5
-12
-27
(iii)
x
-2
-1
1
1
2
y
-3
0
-4
-12
-27
(iv)
x
-2
-1
0
1
4
y
-3
0
-3
-12
-25
(v)
x
-2
-1
0
1
2
y
-3
0
-3
-12
-27
Question
23
23.
The remainder when
(
−
8
w
3
+
7
w
2
+
9
)
is divided by
(
w
+
8
)
is
(i)
4553
(ii)
4556
(iii)
4554
(iv)
4552
(v)
4550
Question
24
24.
The degree of the polynomial
(
−
8
s
5
+
7
s
3
−
s
2
+
5
s
+
2
)
is
(i)
3
(ii)
4
(iii)
7
(iv)
5
(v)
6
Question
25
25.
The coefficient of term
h
in polynomial
(
−
6
g
h
−
3
g
−
6
h
+
9
)
is
(i)
-8
(ii)
-4
(iii)
-7
(iv)
-6
(v)
-5
Assignment Key
1) (iii)
2) (v)
3) (i)
4) (v)
5) (i)
6) (iv)
7) (iv)
8) (iii)
9) (v)
10) (i)
11) (iii)
12) (iii)
13) (iv)
14) (iii)
15) (iv)
16) (iii)
17) (iv)
18) (iii)
19) (i)
20) (ii)
21) (ii)
22) (v)
23) (i)
24) (iv)
25) (iv)
