EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
The curve of a parabola
is a
circle
b)
The curve of a parabola
lie in only one quadrant
c)
The curve of a parabola
is a
straight line
d)
The curve of a parabola
is a closed figure
e)
The curve of a parabola
is a
curve
f)
The curve of a parabola
y
=
a
x
2
+
b
x
+
c
always croses the X-axis
(i)
{a,e}
(ii)
{e}
(iii)
{c,d,e}
(iv)
{f,e}
(v)
{b,e}
Question
2
2.
The product of the roots of the quadratic equation
(
x
2
+
16
x
+
64
)
=
0
is
(i)
66
(ii)
62
(iii)
64
(iv)
63
(v)
65
Question
3
3.
(
2
x
3
−
8
x
2
+
10
x
−
4
)
÷
(
−
x
2
+
3
x
−
2
)
=
(i)
(
−
2
x
+
2
)
(ii)
(
2
x
+
2
)
(iii)
(
−
x
+
2
)
(iv)
(
−
3
x
+
2
)
(v)
(
−
2
x
−
2
)
Question
4
4.
Which of the following equations represents the given graph ?
(i)
y
=
x
2
(ii)
y
=
2
x
2
(iii)
y
=
0
(iv)
y
=
3
x
2
(v)
y
=
5
x
2
Question
5
5.
Find the set of points satisfying the equation
(
6
x
+
10
y
−
5
)
=
0
(i)
(
(
−
2
)
,
17
10
)
,
(
(
−
1
)
,
11
10
)
,
(
0
,
1
2
)
,
(
0
,
9
10
)
,
(
2
,
(
−
7
10
)
)
(ii)
(
(
−
2
)
,
17
10
)
,
(
(
−
1
)
,
11
10
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
10
)
)
,
(
2
,
(
−
7
10
)
)
(iii)
(
(
−
2
)
,
17
10
)
,
(
(
−
1
)
,
11
10
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
1
10
)
)
,
(
2
,
(
−
7
10
)
)
(iv)
(
(
−
2
)
,
17
10
)
,
(
(
−
1
)
,
11
10
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
1
10
)
)
,
(
2
,
(
−
7
10
)
)
(v)
(
(
−
2
)
,
17
10
)
,
(
(
−
1
)
,
11
10
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
10
)
)
,
(
4
,
13
10
)
Question
6
6.
Which of the following algebraic expressions is a monomial?
(i)
(
−
4
w
3
y
3
+
2
w
2
x
+
6
x
2
y
3
)
(ii)
(
5
w
3
y
3
−
w
x
2
)
(iii)
(
−
6
w
3
x
3
y
3
+
2
w
2
x
y
+
6
w
y
2
+
3
x
3
)
(iv)
(
7
w
3
x
y
3
+
5
w
y
2
−
9
x
2
y
2
−
y
3
)
(v)
(
−
7
w
2
x
2
y
3
)
Question
7
7.
The remainder when
(
−
h
2
)
is divided by
(
h
−
5
)
is
(i)
(
−
26
)
(ii)
(
−
28
)
(iii)
(
−
22
)
(iv)
(
−
24
)
(v)
(
−
25
)
Question
8
8.
The coefficient of term
x
in polynomial
(
9
x
4
+
2
x
3
−
9
x
2
−
x
+
1
)
is
(i)
-1
(ii)
-2
(iii)
-4
(iv)
1
(v)
0
Question
9
9.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
6
w
3
x
3
y
2
+
6
w
2
x
3
y
3
−
w
2
x
3
y
−
4
w
y
)
(ii)
(
2
w
3
x
y
2
−
9
w
x
2
y
−
2
x
3
y
3
)
(iii)
0
(iv)
(
−
2
w
2
x
2
y
)
(v)
(
−
8
w
3
x
3
y
−
6
w
2
x
3
y
)
Question
10
10.
From the graph, find the approximate values of '
x
' for which
y
=
-5
(i)
-1.00
,
-0.33
(ii)
-2.00
,
0.67
(iii)
-3.00
,
1.67
(iv)
-1.50
,
0.17
(v)
-2.50
,
1.17
Question
11
11.
Which of the displayed parabolae represents
the equation
y
=
7
2
x
2
(i)
parabola with point
I
(ii)
parabola with point
J
(iii)
parabola with point
H
(iv)
parabola with point
G
Question
12
12.
If
α
=
2
9
,
β
=
7
3
,
γ
=
2
3
are the roots of the cubic equation
a
x
3
+
b
x
2
+
c
x
+
d
= 0
,
then find
c
a
(i)
20
9
(ii)
28
81
(iii)
(
−
29
9
)
(iv)
(
−
28
81
)
(v)
(
−
20
9
)
Question
13
13.
If one of the roots of the cubic equation
(
x
3
+
x
2
−
57
x
+
135
)
=
0
is
(
−
9
)
,
find the remaining real roots
(i)
(
(
−
8
)
,
6
)
(ii)
(
(
−
10
)
,
4
)
(iii)
(
5
,
3
)
(iv)
(
(
−
11
)
,
2
)
(v)
(
(
−
7
)
,
8
)
Question
14
14.
Which of the following algebraic expressions is a trinomial?
(i)
(
3
s
3
+
4
)
(ii)
(
7
s
4
+
8
s
3
+
s
2
)
(iii)
(
6
s
4
−
6
s
3
+
9
s
2
−
s
+
8
)
(iv)
(
−
9
s
4
)
(v)
(
7
s
4
+
9
s
3
+
2
s
2
−
8
s
−
7
)
Question
15
15.
Which of the following are polynomials?
a)
x
2
b)
(
x
+
y
)
c)
(
x
+
y
)
(
x
−
y
)
d)
x
2
+
1
x
2
e)
x
+
1
x
(i)
{e,c,a}
(ii)
{d,b}
(iii)
{d,b,a}
(iv)
{c,a}
(v)
{a,b}
Question
16
16.
Find the table of points that satisfy
the parabola equation
y
=
(
4
x
2
+
12
x
+
5
)
(i)
x
-2
-1
1
1
2
y
-3
-3
4
21
45
(ii)
x
-2
-1
0
1
2
y
-3
-3
5
21
45
(iii)
x
-2
-1
0
1
4
y
-3
-3
5
21
47
(iv)
x
-2
-1
0
0
2
y
-3
-3
5
22
45
(v)
x
-2
-1
-2
1
2
y
-3
-3
3
21
45
Question
17
17.
The coefficient of term
u
2
in polynomial
(
6
u
3
−
4
u
2
+
2
u
−
2
)
is
(i)
-5
(ii)
-7
(iii)
-3
(iv)
-4
(v)
-2
Question
18
18.
From the following graph of
x = p(y)
, find the roots of
p(y)
(i)
-3, 0 and -6
(ii)
-3, -7 and 2
(iii)
-3, 0 and 1
(iv)
-3, -1 and 1
(v)
-7, 0 and 1
Question
19
19.
The value of the polynomial
(
8
d
2
e
2
f
2
−
7
d
f
+
7
e
2
f
2
)
at
d
=
5
,
e
=
(-3)
,
f
=
3
is
(i)
16664
(ii)
16659
(iii)
16663
(iv)
16662
(v)
16661
Question
20
20.
Find the table of points that satisfy
the parabola equation
y
=
(
2
x
2
+
11
x
+
12
)
(i)
x
-2
-1
1
1
2
y
-2
3
11
25
42
(ii)
x
-2
-1
0
0
2
y
-2
3
12
26
42
(iii)
x
-2
-1
0
1
2
y
-2
3
12
25
42
(iv)
x
-2
-1
0
1
4
y
-2
3
12
25
44
(v)
x
-2
-1
-2
1
2
y
-2
3
10
25
42
Question
21
21.
The degree of polynomial
(
5
x
y
−
13
x
+
4
y
+
2
)
is
(i)
(-1)
(ii)
1
(iii)
3
(iv)
5
(v)
2
Question
22
22.
Which of the following are true for m > 0 and a > 0?
a)
The curve of a parabola
x
=
−
m
y
2
lies in the II & III quadrant
b)
The curve of a parabola
y
=
m
x
2
lies in the I & II quadrant
c)
The curve of a parabola
y
=
−
m
x
2
lies in the I & II quadrant
d)
The curve of a parabola
y
=
a
x
2
+
b
x
+
c
lies in the I & II quadrant
e)
The curve of a parabola
x
=
−
m
y
2
lies in the I & II quadrant
(i)
{a,b}
(ii)
{e,c,a}
(iii)
{c,a}
(iv)
{d,b,a}
(v)
{d,b}
Question
23
23.
Which of the displayed lines represent the equation
y
=
(
−
3
2
x
)
(i)
line with point
Q
(ii)
line with point
R
(iii)
line with point
O
(iv)
line with point
P
(v)
line with point
S
Question
24
24.
The value of the polynomial
(
6
d
e
+
1
)
at
d
=
0
,
e
=
(-3)
,
f
=
1
is
(i)
-1
(ii)
1
(iii)
2
(iv)
3
(v)
0
Question
25
25.
Find the table of points that satisfy
the parabola equation
x
=
(
y
2
−
2
y
−
3
)
(i)
x
5
0
-3
-5
-3
y
-2
-1
0
2
2
(ii)
x
5
0
-3
-4
-1
y
-2
-1
0
1
4
(iii)
x
5
0
-3
-4
-3
y
-2
-1
0
1
2
(iv)
x
5
0
-5
-4
-3
y
-2
-1
-2
1
2
(v)
x
5
0
-2
-4
-3
y
-2
-1
-1
1
2
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (ii)
5) (ii)
6) (v)
7) (v)
8) (i)
9) (iii)
10) (ii)
11) (iv)
12) (i)
13) (iii)
14) (ii)
15) (v)
16) (ii)
17) (iv)
18) (iii)
19) (iv)
20) (iii)
21) (v)
22) (i)
23) (iii)
24) (ii)
25) (iii)
