EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The quotient when
4
r
is divided by
(
−
2
)
is
(i)
r
(ii)
(
−
4
r
)
(iii)
(
−
r
)
(iv)
(
−
2
r
)
(v)
(
−
3
r
)
Question
2
2.
The parabola is
x
=
(
−
3
y
2
)
and
line equation is
x
=
0
. Find the quadratic equation.
(i)
(
−
5
y
2
)
=
0
(ii)
(
−
3
y
2
)
=
0
(iii)
(
−
2
y
2
)
=
0
(iv)
0
=
0
(v)
(
−
4
y
2
)
=
0
Question
3
3.
If one of the roots of the cubic equation
(
x
3
−
7
x
2
−
14
x
+
120
)
=
0
is
6
,
find the remaining real roots
(i)
(
5
,
(
−
5
)
)
(ii)
(
9
,
(
−
2
)
)
(iii)
(
3
,
(
−
7
)
)
(iv)
(
7
,
(
−
3
)
)
(v)
(
(
−
4
)
,
5
)
Question
4
4.
Find the value of
k
such that
4
x
3
+
16
x
2
+
k
x
−
64
is exactly divisible by
(
x
+
4
)
(i)
-13
(ii)
-16
(iii)
-17
(iv)
-19
(v)
-15
Question
5
5.
(
45
x
4
−
63
x
3
−
14
x
2
+
24
x
)
÷
(
9
x
2
−
18
x
+
8
)
(i)
(
−
5
x
2
+
3
x
)
(ii)
(
5
x
2
+
2
x
)
(iii)
(
5
x
2
−
3
x
)
(iv)
(
5
x
2
+
3
x
)
(v)
(
5
x
2
+
4
x
)
Question
6
6.
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 I & II quadrant
b)
The curve of a parabola
x
=
−
m
y
2
lies in the II & III 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
y
=
−
m
x
2
lies in the I & II quadrant
(i)
{b,c}
(ii)
{e,a,b}
(iii)
{a,b}
(iv)
{d,c,b}
(v)
{d,c}
Question
7
7.
Which of the following is an irreducible factor of
10
x
y
3
z
?
(i)
x
z
(ii)
z
(iii)
x
y
3
z
(iv)
y
3
z
(v)
x
y
Question
8
8.
The quotient when
(
5
h
2
+
h
−
9
)
is divided by
(
h
+
9
)
is
(i)
(
4
h
−
44
)
(ii)
(
5
h
−
44
)
(iii)
(
3
h
−
44
)
(iv)
(
6
h
−
44
)
(v)
(
8
h
−
44
)
Question
9
9.
(
4
x
4
+
3
x
3
)
÷
x
2
(i)
(
4
x
2
+
3
x
)
(ii)
(
4
x
2
−
3
x
)
(iii)
(
3
x
2
+
3
x
)
(iv)
(
4
x
2
+
4
x
)
(v)
(
−
4
x
2
+
3
x
)
Question
10
10.
The degree of the polynomial
(
−
z
5
−
9
z
3
+
z
2
+
4
z
+
8
)
is
(i)
6
(ii)
8
(iii)
5
(iv)
2
(v)
4
Question
11
11.
Which of the following are not polynomials?
a)
(
3
x
+
7
y
)
(
6
x
−
y
)
b)
100
x
2
c)
(
6
x
−
y
)
d)
√x
e)
(
18
x
2
+
39
x
y
−
7
y
2
)
(i)
{b,a}
(ii)
{e,b,a}
(iii)
{c,d}
(iv)
{c,d,a}
(v)
{a,d}
Question
12
12.
The remainder when
(
−
u
3
−
6
u
2
−
3
)
is divided by
(
u
2
−
13
u
+
40
)
is
(i)
(
−
207
u
+
757
)
(ii)
(
−
210
u
+
757
)
(iii)
(
−
208
u
+
757
)
(iv)
(
−
205
u
+
757
)
(v)
(
−
206
u
+
757
)
Question
13
13.
Which of the displayed parabolae represents
the equation
y
=
(
x
2
−
4
x
+
4
)
(i)
parabola with point
N
(ii)
parabola with point
L
(iii)
parabola with point
K
(iv)
parabola with point
M
Question
14
14.
Which of the following equations represents the given graph ?
(i)
y
=
(
2
x
2
+
6
x
+
8
)
(ii)
y
=
(
2
x
2
+
8
x
+
8
)
(iii)
y
=
(
2
x
2
+
11
x
+
8
)
(iv)
y
=
(
3
x
2
+
8
x
+
8
)
(v)
y
=
(
x
2
+
8
x
+
8
)
Question
15
15.
The product of the roots of the quadratic equation
(
x
2
−
10
x
+
21
)
=
0
is
(i)
22
(ii)
20
(iii)
21
(iv)
23
(v)
18
Question
16
16.
Which of the following are not polynomials?
a)
√x
b)
64
x
2
c)
(
4
x
+
3
y
)
d)
64
x
2
+
1
64
x
2
e)
(
7
x
−
7
y
)
(i)
{c,d}
(ii)
{a,d}
(iii)
{c,d,a}
(iv)
{b,a}
(v)
{e,b,a}
Question
17
17.
Find the roots of the quadratic equation
(
x
2
+
3
x
+
6
)
=
0
(i)
(
1
,
1
)
(ii)
(
3
,
0
)
(iii)
no real roots
(iv)
(
1
,
0
)
Question
18
18.
Find the table of points that satisfy
the parabola equation
y
=
x
2
(i)
x
-2
-1
0
1
4
y
4
1
0
1
6
(ii)
x
-2
-1
1
1
2
y
4
1
-1
1
4
(iii)
x
-2
-1
0
1
2
y
4
1
0
1
4
(iv)
x
-2
-1
0
0
2
y
4
1
0
2
4
(v)
x
-2
-1
-2
1
2
y
4
1
-2
1
4
Question
19
19.
Which of the following are true for the parabola
y
=
a
x
2
+
b
x
+
c
?
a)
If the curve meets the X-axis at two places, there are two distinct non-real roots.
b)
If the curve meets the X-axis at only one point ,
b
2
−
4
a
c
=
0
c)
If the curve does not meet the X-axis,
there are no real roots for
y
=
a
x
2
+
b
x
+
c
d)
If the curve meets the X-axis at only one point ,
b
2
−
4
a
c
>
0
e)
If the curve does not meet the X-axis ,
b
2
−
4
a
c
< 0
(i)
{d,c}
(ii)
{a,b}
(iii)
{b,c,e}
(iv)
{a,b,c}
(v)
{a,d,e}
Question
20
20.
Find the table of points that satisfy
the parabola equation
y
=
(
−
4
x
2
)
(i)
x
-2
-1
1
1
2
y
-16
-4
-1
-4
-16
(ii)
x
-2
-1
-2
1
2
y
-16
-4
-2
-4
-16
(iii)
x
-2
-1
0
1
2
y
-16
-4
0
-4
-16
(iv)
x
-2
-1
0
1
4
y
-16
-4
0
-4
-14
(v)
x
-2
-1
0
0
2
y
-16
-4
0
-3
-16
Question
21
21.
Find the table of points that satisfy
the parabola equation
y
=
x
2
(i)
x
-2
-1
0
1
4
y
4
1
0
1
6
(ii)
x
-2
-1
-2
1
2
y
4
1
-2
1
4
(iii)
x
-2
-1
0
1
2
y
4
1
0
1
4
(iv)
x
-2
-1
1
1
2
y
4
1
-1
1
4
(v)
x
-2
-1
0
0
2
y
4
1
0
2
4
Question
22
22.
Find the quadratic equation, the sum of whose roots is
(
-1
3
)
and product is
(
-4
3
)
(i)
(
−
24
x
2
−
10
x
+
32
)
=
0
(ii)
(
−
24
x
2
−
6
x
+
32
)
=
0
(iii)
(
−
25
x
2
−
8
x
+
32
)
=
0
(iv)
(
−
23
x
2
−
8
x
+
32
)
=
0
(v)
(
−
24
x
2
−
8
x
+
32
)
=
0
Question
23
23.
The quotient when
(
3
d
5
+
6
d
4
−
d
3
+
d
2
+
2
d
+
4
)
is divided by
(
d
−
6
)
is
(i)
(
4
d
4
+
24
d
3
+
143
d
2
+
859
d
+
5156
)
(ii)
(
2
d
4
+
24
d
3
+
143
d
2
+
859
d
+
5156
)
(iii)
(
24
d
3
+
143
d
2
+
859
d
+
5156
)
(iv)
(
3
d
4
+
24
d
3
+
143
d
2
+
859
d
+
5156
)
(v)
(
6
d
4
+
24
d
3
+
143
d
2
+
859
d
+
5156
)
Question
24
24.
Find the quadratic equation with roots
(
(
-4
7
)
,
(
-4
7
)
)
(i)
(
49
x
2
+
56
x
+
16
)
=
0
(ii)
(
63
x
2
+
64
x
+
16
)
=
0
(iii)
(
35
x
2
+
48
x
+
16
)
=
0
(iv)
(
49
x
2
+
70
x
+
24
)
=
0
(v)
(
49
x
2
+
42
x
+
8
)
=
0
Question
25
25.
The given table of points satisfy which parabola equation?
x
-3
-2
-1
0
1
2
3
y
-9
-4
-1
0
-1
-4
-9
(i)
y
=
0
(ii)
y
=
(
−
4
x
2
)
(iii)
y
=
(
−
2
x
2
)
(iv)
y
=
2
x
2
(v)
y
=
(
−
x
2
)
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (ii)
5) (iv)
6) (i)
7) (ii)
8) (ii)
9) (i)
10) (iii)
11) (v)
12) (i)
13) (i)
14) (ii)
15) (iii)
16) (ii)
17) (iii)
18) (iii)
19) (iii)
20) (iii)
21) (iii)
22) (v)
23) (iv)
24) (i)
25) (v)
