EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The point
(
(
−
4
)
,
80
)
lies on which of the given parabolae?
(i)
y
=
(
5
x
2
+
5
x
+
1
)
(ii)
y
=
5
x
2
(iii)
y
=
(
5
x
2
+
5
x
)
(iv)
y
=
(
5
x
2
+
1
)
Question
2
2.
The given table of points satisfy which parabola equation?
x
-3
-2
-1
0
1
2
3
y
-18
-8
-2
0
-2
-8
-18
(i)
y
=
(
−
2
x
2
)
(ii)
y
=
(
−
4
x
2
)
(iii)
y
=
x
2
(iv)
y
=
(
−
x
2
)
(v)
y
=
(
−
3
x
2
)
Question
3
3.
The value of the polynomial
(
−
4
s
t
u
−
8
t
−
5
u
)
at
s
=
3
,
t
=
1
,
u
=
2
is
(i)
-43
(ii)
-41
(iii)
-42
(iv)
-45
(v)
-40
Question
4
4.
The value of the polynomial
(
r
s
+
3
s
2
t
−
7
s
)
at
r
=
(-4)
,
s
=
(-3)
,
t
=
1
is
(i)
61
(ii)
58
(iii)
63
(iv)
59
(v)
60
Question
5
5.
If
α
=
1
2
,
β
=
4
5
,
γ
=
5
9
are the roots of the cubic equation
a
x
3
+
b
x
2
+
c
x
+
d
= 0
,
then find
c
a
(i)
(
−
101
90
)
(ii)
2
9
(iii)
(
−
2
9
)
(iv)
167
90
(v)
101
90
Question
6
6.
Which of the following are not polynomials?
a)
x
2
b)
(
8
x
−
8
y
)
c)
√x
d)
x
2
+
1
x
2
e)
(
8
x
+
7
y
)
(i)
{c,d}
(ii)
{a,c}
(iii)
{b,d}
(iv)
{e,a,c}
(v)
{b,d,c}
Question
7
7.
The value of the polynomial
(
5
g
h
i
+
5
g
i
+
7
h
i
)
at
g
=
1
,
h
=
5
,
i
=
5
is
(i)
323
(ii)
325
(iii)
328
(iv)
324
(v)
326
Question
8
8.
The coefficient of term
v
in polynomial
(
−
7
v
2
−
v
+
9
)
is
(i)
0
(ii)
-1
(iii)
-2
(iv)
1
(v)
-4
Question
9
9.
Given
f
(
j
)
=
(
−
j
2
−
2
j
−
9
)
,
find
f
(
2
)
(i)
-19
(ii)
-18
(iii)
-15
(iv)
-16
(v)
-17
Question
10
10.
The sum of the roots of the quadratic equation
(
x
2
−
17
x
+
72
)
=
0
is
(i)
18
(ii)
17
(iii)
20
(iv)
15
(v)
16
Question
11
11.
The degree of polynomial
(
−
2
h
3
i
3
j
3
−
6
h
2
i
3
j
2
−
2
h
2
i
j
−
3
h
i
3
j
2
−
4
h
j
3
−
4
h
j
2
+
6
i
2
j
3
)
is
(i)
10
(ii)
6
(iii)
12
(iv)
8
(v)
9
Question
12
12.
If
6
is the root of
(
x
2
+
k
x
−
18
)
=
0
, find
k
and the other root
(i)
k
=
-4
, and the other root =
-4
(ii)
k
=
-5
, and the other root =
-5
(iii)
k
=
-2
, and the other root =
-2
(iv)
k
=
-1
, and the other root =
0
(v)
k
=
-3
, and the other root =
-3
Question
13
13.
From the graph, find the approximate values of '
x
' for which
y
=
-6
(i)
-0.41
,
0.41
(ii)
-0.91
,
0.91
(iii)
-1.91
,
1.91
(iv)
-1.41
,
1.41
(v)
-2.41
,
2.41
Question
14
14.
Which of the following algebraic expressions is a constant polynomial?
(i)
4
(ii)
(
g
3
−
7
g
2
+
g
+
9
)
(iii)
(
−
2
g
4
−
4
g
3
+
9
g
2
+
2
g
−
6
)
(iv)
(
−
4
g
2
+
2
g
−
3
)
(v)
(
−
7
g
−
9
)
Question
15
15.
The remainder when
(
−
9
j
3
−
7
j
2
−
j
−
2
)
is divided by
(
j
2
+
5
j
−
36
)
is
(i)
(
−
518
j
+
1366
)
(ii)
(
−
513
j
+
1366
)
(iii)
(
−
515
j
+
1366
)
(iv)
(
−
516
j
+
1366
)
(v)
(
−
514
j
+
1366
)
Question
16
16.
The coefficient of term
f
in polynomial
(
−
6
f
g
−
2
f
−
4
g
−
3
)
is
(i)
0
(ii)
-5
(iii)
-2
(iv)
-1
(v)
-3
Question
17
17.
The value of the polynomial
(
−
7
w
2
x
)
at
v
=
3
,
w
=
1
,
x
=
(-4)
is
(i)
29
(ii)
30
(iii)
26
(iv)
28
(v)
27
Question
18
18.
The quotient when
(
5
h
−
8
)
is divided by
(
h
+
1
)
is
(i)
3
(ii)
5
(iii)
4
(iv)
6
(v)
8
Question
19
19.
The quotient when
(
−
9
t
4
−
5
t
3
+
7
t
2
+
5
t
−
6
)
is divided by
(
t
2
+
3
t
+
2
)
is
(i)
(
−
9
t
2
+
22
t
−
41
)
(ii)
(
−
11
t
2
+
22
t
−
41
)
(iii)
(
−
7
t
2
+
22
t
−
41
)
(iv)
(
−
10
t
2
+
22
t
−
41
)
(v)
(
−
8
t
2
+
22
t
−
41
)
Question
20
20.
Find the roots of the quadratic equation
(
x
2
−
6
x
+
9
)
=
0
(i)
(
4
,
3
)
(ii)
(
3
,
3
)
(iii)
(
4
,
4
)
(iv)
(
6
,
3
)
(v)
no real roots
Question
21
21.
The quotient when
(
2
z
2
−
3
z
−
5
)
is divided by
(
z
−
7
)
is
(i)
(
3
z
+
11
)
(ii)
(
4
z
+
11
)
(iii)
(
2
z
+
11
)
(iv)
(
z
+
11
)
(v)
(
−
z
+
11
)
Question
22
22.
Find the set of points satisfying the equation
x
=
9
(i)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
10
,
(
−
1
)
)
,
(
9
,
1
)
,
(
9
,
2
)
(ii)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
9
,
1
)
,
(
11
,
4
)
(iii)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
7
,
(
−
2
)
)
,
(
9
,
1
)
,
(
9
,
2
)
(iv)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
8
,
2
)
,
(
9
,
2
)
(v)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
9
,
1
)
,
(
9
,
2
)
Question
23
23.
Given
f
(
w
)
=
(
4
w
+
8
)
,
find
f
(
0
)
(i)
8
(ii)
11
(iii)
7
(iv)
9
(v)
6
Question
24
24.
The given table of points satisfy which parabola equation?
x
9
4
1
0
1
4
9
y
-3
-2
-1
0
1
2
3
(i)
x
=
4
y
2
(ii)
x
=
y
2
(iii)
x
=
(
−
y
2
)
(iv)
x
=
2
y
2
(v)
x
=
0
Question
25
25.
Find the quadratic equation with roots
(
2
,
-5
)
(i)
(
x
2
+
2
x
−
8
)
=
0
(ii)
(
x
2
+
5
x
)
=
0
(iii)
(
x
2
+
3
x
−
10
)
=
0
(iv)
(
x
2
+
4
x
−
5
)
=
0
(v)
(
x
2
+
x
−
6
)
=
0
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (v)
5) (v)
6) (i)
7) (ii)
8) (ii)
9) (v)
10) (ii)
11) (v)
12) (v)
13) (iv)
14) (i)
15) (iii)
16) (iii)
17) (iv)
18) (ii)
19) (i)
20) (ii)
21) (iii)
22) (v)
23) (i)
24) (ii)
25) (iii)
