EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
From the graph, find the approximate values of '
x
' for which
y
=
-9
(i)
-2.57
,
0.91
(ii)
-1.57
,
-0.09
(iii)
-3.57
,
1.91
(iv)
-2.07
,
0.41
(v)
-3.07
,
1.41
Question
2
2.
The parabola is
x
=
2
y
2
and
line equation is
x
=
0
. Find the quadratic equation.
(i)
3
y
2
=
0
(ii)
2
y
2
=
0
(iii)
(
−
y
2
)
=
0
(iv)
y
2
=
0
(v)
4
y
2
=
0
Question
3
3.
From the following graph of
y = p(x)
, find the roots of
p(x)
(i)
6, -6, -4 and -3
(ii)
-7, 2, -4 and -3
(iii)
-7, -6, 8 and -3
(iv)
-7, -6, -4 and 3
(v)
-7, -6, -4 and -3
Question
4
4.
(
16
x
3
y
2
z
3
+
4
x
3
y
2
z
2
+
96
x
2
y
3
z
3
)
÷
2
x
y
z
=
(i)
(
8
x
3
y
2
z
2
+
2
x
2
y
z
+
48
x
y
2
z
2
)
(ii)
(
2
x
2
y
2
z
2
+
8
x
2
y
z
2
+
48
x
y
2
z
2
)
(iii)
(
8
x
2
y
z
2
+
48
x
y
2
z
2
+
2
x
y
2
z
)
(iv)
(
8
x
2
y
z
2
+
2
x
2
y
z
+
48
x
y
2
z
2
)
(v)
(
8
x
3
y
3
z
2
+
2
x
2
y
z
+
48
x
y
2
z
2
)
Question
5
5.
Which of the following equations represents the given graph ?
(i)
y
=
(
2
x
2
+
10
x
+
25
)
(ii)
y
=
(
x
2
+
7
x
+
25
)
(iii)
y
=
(
10
x
+
25
)
(iv)
y
=
(
x
2
+
10
x
+
25
)
(v)
y
=
(
x
2
+
12
x
+
25
)
Question
6
6.
The remainder when
(
−
5
w
2
)
is divided by
(
w
+
6
)
is
(i)
(
−
181
)
(ii)
(
−
180
)
(iii)
(
−
179
)
(iv)
(
−
183
)
(v)
(
−
177
)
Question
7
7.
Find the roots of the quadratic equation
(
x
2
+
4
x
+
4
)
=
0
(i)
(
-2
,
-2
)
(ii)
(
-1
,
-2
)
(iii)
(
2
,
-2
)
(iv)
(
-1
,
-1
)
(v)
no real roots
Question
8
8.
The product of the roots of the quadratic equation
(
x
2
+
11
x
+
28
)
=
0
is
(i)
27
(ii)
30
(iii)
28
(iv)
29
(v)
25
Question
9
9.
From the following graph of
x = p(y)
, find the roots of
p(y)
(i)
2, -2, 4 and 6
(ii)
-5, 3, 4 and 6
(iii)
2, 3, 7 and 6
(iv)
2, 3, 4 and 5
(v)
2, 3, 4 and 6
Question
10
10.
The axis and origin of the parabola
y
=
(
2
x
2
−
x
)
are
(i)
x
=
1
4
,
(
1
4
,
(
-1
8
)
)
(ii)
x
=
1
2
,
(
7
8
,
1
4
)
(iii)
x
=
1
6
,
(
(
-9
8
)
,
1
4
)
(iv)
x
=
3
4
,
(
5
4
,
(
-1
8
)
)
Question
11
11.
If one of the roots of the cubic equation
(
x
3
+
7
x
2
)
=
0
is
0
,
find the remaining real roots
(i)
(
(
−
7
)
,
0
)
(ii)
(
1
,
(
−
6
)
)
(iii)
(
3
,
(
−
4
)
)
(iv)
(
(
−
2
)
,
(
−
9
)
)
(v)
(
(
−
1
)
,
(
−
8
)
)
Question
12
12.
Find the table of points that satisfy
the parabola equation
y
=
(
3
x
2
−
2
x
−
1
)
(i)
x
-2
-1
0
1
4
y
15
4
-1
0
9
(ii)
x
-2
-1
0
0
2
y
15
4
-1
1
7
(iii)
x
-2
-1
0
1
2
y
15
4
-1
0
7
(iv)
x
-2
-1
-2
1
2
y
15
4
-3
0
7
(v)
x
-2
-1
1
1
2
y
15
4
-2
0
7
Question
13
13.
Which of the following equations represents the given graph ?
(i)
y
=
2
x
2
(ii)
y
=
4
x
2
(iii)
y
=
3
x
2
(iv)
y
=
7
x
2
(v)
y
=
5
x
2
Question
14
14.
The value of the polynomial
(
−
6
j
−
8
)
at
j
=
1
is
(i)
-14
(ii)
-12
(iii)
-15
(iv)
-17
(v)
-13
Question
15
15.
Which of the following equations represents the given graph ?
(i)
x
=
0
(ii)
x
=
(
−
2
y
2
)
(iii)
x
=
(
−
5
y
2
)
(iv)
x
=
(
−
3
y
2
)
(v)
x
=
(
−
y
2
)
Question
16
16.
The remainder when
(
−
3
a
3
−
6
a
2
+
4
a
−
3
)
is divided by
(
a
−
2
)
is
(i)
(
−
42
)
(ii)
(
−
41
)
(iii)
(
−
43
)
(iv)
(
−
44
)
(v)
(
−
46
)
Question
17
17.
Factorize and divide
(
18
x
4
−
156
x
3
+
326
x
2
−
236
x
+
48
)
÷
(
−
x
2
+
7
x
−
6
)
(i)
(
−
18
x
2
−
30
x
−
8
)
(ii)
(
−
18
x
2
−
18
x
+
8
)
(iii)
(
−
18
x
2
+
18
x
+
8
)
(iv)
(
−
3
x
2
+
7
x
−
4
)
(v)
(
−
18
x
2
+
30
x
−
8
)
Question
18
18.
Which of the following are true?
a)
The curve of a parabola
y
=
a
x
2
+
b
x
+
c
always croses the X-axis
b)
The curve of a parabola
is a
curve
c)
The curve of a parabola
is a
circle
d)
The curve of a parabola
is a
straight line
e)
The curve of a parabola
lie in only one quadrant
f)
The curve of a parabola
is a closed figure
(i)
{f,b}
(ii)
{c,b}
(iii)
{a,b}
(iv)
{d,e,b}
(v)
{b}
Question
19
19.
The given table of points satisfy which parabola equation?
x
-3
-2
-1
0
1
2
3
y
0
1
6
15
28
45
66
(i)
y
=
(
2
x
2
+
8
x
+
15
)
(ii)
y
=
(
3
x
2
+
11
x
+
15
)
(iii)
y
=
(
2
x
2
+
14
x
+
15
)
(iv)
y
=
(
x
2
+
11
x
+
15
)
(v)
y
=
(
2
x
2
+
11
x
+
15
)
Question
20
20.
Find the table of points that satisfy
the parabola equation
y
=
4
x
2
(i)
x
-2
-1
0
0
2
y
16
4
0
5
16
(ii)
x
-2
-1
1
1
2
y
16
4
-1
4
16
(iii)
x
-2
-1
-2
1
2
y
16
4
-2
4
16
(iv)
x
-2
-1
0
1
2
y
16
4
0
4
16
(v)
x
-2
-1
0
1
4
y
16
4
0
4
18
Question
21
21.
Find the roots of the quadratic equation
(
−
9
x
2
−
2
x
−
5
)
=
0
(i)
(
1
,
1
)
(ii)
no real roots
(iii)
(
1
,
0
)
(iv)
(
4
,
0
)
Question
22
22.
Which of the following equations represents the given graph ?
(i)
x
=
0
(ii)
x
=
y
2
(iii)
x
=
3
y
2
(iv)
x
=
(
−
y
2
)
(v)
x
=
2
y
2
Question
23
23.
Find the quadratic equation with roots
(
(
-4
3
)
,
(
-4
3
)
)
(i)
(
15
x
2
+
32
x
+
16
)
=
0
(ii)
(
9
x
2
+
18
x
+
8
)
=
0
(iii)
(
3
x
2
+
10
x
+
8
)
=
0
(iv)
(
9
x
2
+
24
x
+
16
)
=
0
(v)
(
3
x
2
+
16
x
+
16
)
=
0
Question
24
24.
The remainder when
(
−
2
c
4
+
9
c
3
+
5
c
2
+
4
c
−
7
)
is divided by
(
c
2
+
14
c
+
45
)
is
(i)
(
4259
c
+
19028
)
(ii)
(
4264
c
+
19028
)
(iii)
(
4261
c
+
19028
)
(iv)
(
4262
c
+
19028
)
(v)
(
4260
c
+
19028
)
Question
25
25.
Find the roots of the quadratic equation
(
−
9
x
2
−
4
x
+
3
)
=
0
(i)
(
(
−
2
9
−
1
9
4
√
31
)
,
(
−
2
9
+
31
9
)
)
(ii)
(
(
−
2
9
−
1
9
√
31
)
,
(
−
2
9
+
1
9
√
31
)
)
(iii)
(
(
0
−
1
9
√
31
)
,
(
−
2
9
+
31
9
)
)
(iv)
(
(
0
−
1
9
√
31
)
,
(
−
4
9
+
1
9
√
31
)
)
(v)
(
(
−
2
9
−
1
9
4
√
31
)
,
(
−
2
9
+
1
9
√
31
)
)
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (iv)
5) (iv)
6) (ii)
7) (i)
8) (iii)
9) (v)
10) (i)
11) (i)
12) (iii)
13) (ii)
14) (i)
15) (ii)
16) (iii)
17) (v)
18) (v)
19) (v)
20) (iv)
21) (ii)
22) (ii)
23) (iv)
24) (iii)
25) (ii)
