EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Find the quadratic equation, the sum of whose roots is
7
and product is
10
(i)
(
x
2
−
7
x
+
10
)
=
0
(ii)
(
2
x
2
−
7
x
+
10
)
=
0
(iii)
(
x
2
−
10
x
+
10
)
=
0
(iv)
(
−
7
x
+
10
)
=
0
(v)
(
x
2
−
4
x
+
10
)
=
0
Question
2
2.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
(
−
4
q
2
−
3
q
+
5
)
(ii)
(
3
q
3
−
4
q
2
−
5
q
−
3
)
(iii)
(
−
2
q
5
−
8
q
4
−
7
q
3
−
9
q
+
6
)
(iv)
(
−
5
q
+
6
)
(v)
7
Question
3
3.
Which of the following equations represents the given graph ?
(i)
y
=
(
3
x
2
+
14
x
+
10
)
(ii)
y
=
(
4
x
2
+
12
x
+
10
)
(iii)
y
=
(
4
x
2
+
14
x
+
10
)
(iv)
y
=
(
4
x
2
+
16
x
+
10
)
(v)
y
=
(
5
x
2
+
14
x
+
10
)
Question
4
4.
The degree of polynomial
(
−
8
g
2
h
2
i
2
−
2
g
2
i
2
−
5
g
h
i
−
2
h
2
i
+
7
i
2
)
is
(i)
3
(ii)
7
(iii)
9
(iv)
6
(v)
5
Question
5
5.
The degree of polynomial
(
3
b
3
c
3
d
2
+
2
b
3
c
3
d
−
7
b
2
c
3
+
4
b
2
c
2
+
3
b
c
d
2
−
2
b
c
d
−
9
b
d
3
)
is
(i)
8
(ii)
7
(iii)
5
(iv)
10
(v)
9
Question
6
6.
The given table of points satisfy which parabola equation?
x
18
8
2
0
2
8
18
y
-3
-2
-1
0
1
2
3
(i)
x
=
0
(ii)
x
=
3
y
2
(iii)
x
=
y
2
(iv)
x
=
5
y
2
(v)
x
=
2
y
2
Question
7
7.
From the following graph of
x = p(y)
, find the roots of
p(y)
(i)
2, 3, 5 and -5
(ii)
2, 3, 5 and 6
(iii)
2, 3, 1 and 6
(iv)
-3, 3, 5 and 6
(v)
2, 4, 5 and 6
Question
8
8.
Which of the displayed lines represent the equation
(
3
x
−
5
y
−
6
)
=
0
?
(i)
line with point
N
(ii)
line with point
R
(iii)
line with point
P
(iv)
line with point
Q
(v)
line with point
O
Question
9
9.
If
α, β, γ
are the roots of the cubic equation
(
70
x
3
−
297
x
2
+
416
x
−
192
)
=
0
,
find
αβγ
(i)
208
35
(ii)
96
35
(iii)
(
−
96
35
)
(iv)
(
−
208
35
)
(v)
(
−
297
70
)
Question
10
10.
Find the table of points that satisfy
the parabola equation
y
=
(
x
2
+
5
x
+
6
)
(i)
x
-2
-1
-2
1
2
y
0
2
4
12
20
(ii)
x
-2
-1
0
0
2
y
0
2
6
13
20
(iii)
x
-2
-1
0
1
2
y
0
2
6
12
20
(iv)
x
-2
-1
0
1
4
y
0
2
6
12
22
(v)
x
-2
-1
1
1
2
y
0
2
5
12
20
Question
11
11.
From the following graph of
x = p(y)
, find the number of zeroes of
p(y)
(i)
3
(ii)
(-1)
(iii)
(-3)
(iv)
0
(v)
1
Question
12
12.
The constant term in polynomial
(
−
4
a
2
+
8
a
−
6
)
is
(i)
-5
(ii)
-3
(iii)
-6
(iv)
-7
(v)
-9
Question
13
13.
Find the quadratic equation with roots
(
(
-1
4
)
,
(
-1
4
)
)
(i)
(
16
x
2
+
8
x
+
1
)
=
0
(ii)
(
16
x
2
+
16
x
+
3
)
=
0
(iii)
(
8
x
2
+
6
x
+
1
)
=
0
(iv)
(
16
x
2
−
1
)
=
0
(v)
(
24
x
2
+
10
x
+
1
)
=
0
Question
14
14.
The value of the polynomial
(
−
2
n
o
−
5
p
)
at
n
=
3
,
o
=
1
,
p
=
1
is
(i)
-8
(ii)
-11
(iii)
-12
(iv)
-10
(v)
-13
Question
15
15.
The degree of the polynomial
(
6
p
−
1
)
is
(i)
1
(ii)
4
(iii)
(-1)
(iv)
0
(v)
2
Question
16
16.
Given
f
(
m
)
=
(
8
m
4
−
2
m
3
−
8
m
2
−
2
m
+
5
)
,
find
f
(
1
)
(i)
1
(ii)
-2
(iii)
0
(iv)
4
(v)
2
Question
17
17.
The remainder when
(
9
e
+
5
)
is divided by
(
e
+
2
)
is
(i)
(
−
14
)
(ii)
(
−
13
)
(iii)
(
−
10
)
(iv)
(
−
12
)
(v)
(
−
15
)
Question
18
18.
Which of the displayed parabolae represents
the equation
y
=
(
3
2
x
2
+
4
)
(i)
parabola with point
M
(ii)
parabola with point
O
(iii)
parabola with point
N
(iv)
parabola with point
L
Question
19
19.
Which of the following equations represents the given graph ?
(i)
y
=
(
−
5
x
2
)
(ii)
y
=
(
−
2
x
2
)
(iii)
y
=
(
−
3
x
2
)
(iv)
y
=
(
−
x
2
)
(v)
y
=
x
2
Question
20
20.
Which of the displayed lines represent the equation
y
=
(
−
2
)
(i)
line with point
X
(ii)
line with point
V
(iii)
line with point
U
(iv)
line with point
T
(v)
line with point
W
Question
21
21.
Given
f
(
t
)
=
(
3
t
3
−
2
t
2
−
1
)
,
find
f
(
(-3)
)
(i)
-97
(ii)
-99
(iii)
-100
(iv)
-101
(v)
-103
Question
22
22.
From the graph, find the approximate values of '
x
' for which
y
=
6
(i)
1.23
,
-1.23
(ii)
2.23
,
-2.23
(iii)
0.73
,
-0.73
(iv)
2.73
,
-2.73
(v)
1.73
,
-1.73
Question
23
23.
The product of the roots of the quadratic equation
(
36
x
2
+
108
x
+
81
)
=
0
is
(i)
5
2
(ii)
7
4
(iii)
13
6
(iv)
11
4
(v)
9
4
Question
24
24.
Which of the following equations represents the given graph ?
(i)
x
=
0
(ii)
x
=
y
2
(iii)
x
=
4
y
2
(iv)
x
=
2
y
2
(v)
x
=
(
−
y
2
)
Question
25
25.
Find the quadratic equation, the sum of whose roots is
-8
and product is
16
(i)
(
x
2
+
8
x
+
16
)
=
0
(ii)
(
8
x
+
16
)
=
0
(iii)
(
x
2
+
10
x
+
16
)
=
0
(iv)
(
x
2
+
6
x
+
16
)
=
0
(v)
(
2
x
2
+
8
x
+
16
)
=
0
Assignment Key
1) (i)
2) (i)
3) (iii)
4) (iv)
5) (i)
6) (v)
7) (ii)
8) (i)
9) (ii)
10) (iii)
11) (iv)
12) (iii)
13) (i)
14) (ii)
15) (i)
16) (i)
17) (ii)
18) (i)
19) (ii)
20) (iv)
21) (iii)
22) (v)
23) (v)
24) (ii)
25) (i)
