EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Which of the following algebraic expressions is a zero polynomial?
(i)
(
t
2
v
−
6
t
u
v
3
+
7
u
v
2
)
(ii)
(
9
t
3
u
+
9
t
2
−
t
u
2
v
2
+
4
u
v
)
(iii)
(
−
7
t
3
−
7
u
v
3
)
(iv)
(
−
7
t
3
u
3
v
3
)
(v)
0
Question
2
2.
Find the roots of the quadratic equation
(
x
2
+
2
x
−
3
)
=
0
(i)
no real roots
(ii)
(
2
,
-3
)
(iii)
(
2
,
-2
)
(iv)
(
1
,
-3
)
(v)
(
5
,
-3
)
Question
3
3.
The value of the polynomial
(
−
3
r
t
−
8
s
)
at
r
=
0
,
s
=
0
,
t
=
(-5)
is
(i)
-3
(ii)
0
(iii)
3
(iv)
1
(v)
-1
Question
4
4.
The quotient when
9
s
2
is divided by
(
s
+
1
)
is
(i)
(
8
s
−
9
)
(ii)
(
10
s
−
9
)
(iii)
(
9
s
−
9
)
(iv)
(
12
s
−
9
)
(v)
(
7
s
−
9
)
Question
5
5.
Which of the following algebraic expressions is a trinomial?
(i)
(
−
2
b
4
−
2
b
+
8
)
(ii)
(
−
7
b
4
)
(iii)
(
9
b
4
−
8
b
3
+
5
b
2
+
3
b
+
7
)
(iv)
(
9
b
4
+
2
b
3
+
2
b
2
−
6
b
−
2
)
(v)
(
9
b
3
+
8
)
Question
6
6.
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
=
3
x
2
(ii)
y
=
5
x
2
(iii)
y
=
2
x
2
(iv)
y
=
0
(v)
y
=
x
2
Question
7
7.
If one of the roots of the cubic equation
(
126
x
3
−
513
x
2
+
532
x
−
160
)
=
0
is
5
6
,
find the remaining real roots
(i)
(
1
2
,
2
7
)
(ii)
(
7
6
,
6
7
)
(iii)
(
4
7
,
8
3
)
(iv)
(
5
4
,
4
5
)
(v)
(
5
8
,
4
9
)
Question
8
8.
The degree of polynomial
(
s
2
t
−
8
s
2
+
5
s
t
−
8
t
)
is
(i)
0
(ii)
4
(iii)
2
(iv)
3
(v)
6
Question
9
9.
Find the set of points satisfying the equation
y
=
4
(i)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
1
,
4
)
,
(
4
,
6
)
(ii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
2
)
,
(
1
,
4
)
,
(
2
,
4
)
(iii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
0
,
5
)
,
(
2
,
4
)
(iv)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
1
,
3
)
,
(
1
,
4
)
,
(
2
,
4
)
(v)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
1
,
4
)
,
(
2
,
4
)
Question
10
10.
Which of the displayed parabolae represents
the equation
y
=
(
x
2
+
6
x
+
9
)
(i)
parabola with point
E
(ii)
parabola with point
B
(iii)
parabola with point
C
(iv)
parabola with point
D
Question
11
11.
The quotient when
(
−
5
g
3
+
3
g
+
3
)
is divided by
(
g
−
4
)
is
(i)
(
−
3
g
2
−
20
g
−
77
)
(ii)
(
−
5
g
2
−
20
g
−
77
)
(iii)
(
−
4
g
2
−
20
g
−
77
)
(iv)
(
−
8
g
2
−
20
g
−
77
)
(v)
(
−
6
g
2
−
20
g
−
77
)
Question
12
12.
Which of the following algebraic expressions is a constant polynomial?
(i)
(
5
g
5
−
9
g
4
−
4
g
3
−
g
2
+
6
)
(ii)
9
(iii)
(
5
g
3
−
7
g
2
+
g
−
7
)
(iv)
(
−
3
g
−
6
)
(v)
(
5
g
2
+
3
g
+
3
)
Question
13
13.
Given
f
(
s
)
=
(
9
s
−
9
)
,
find
f
(
2
)
(i)
7
(ii)
8
(iii)
10
(iv)
9
(v)
12
Question
14
14.
Which of the following algebraic expressions is a quadratic polynomial?
(i)
8
(ii)
(
−
c
2
+
7
c
−
2
)
(iii)
(
9
c
5
−
3
c
4
−
c
2
−
5
c
−
5
)
(iv)
(
4
c
3
+
4
c
2
+
4
c
+
4
)
(v)
(
4
c
−
7
)
Question
15
15.
If
α
=
1
5
,
β
=
1
6
,
γ
=
5
7
are the roots of the cubic equation
a
x
3
+
b
x
2
+
c
x
+
d
= 0
,
then find
d
a
(i)
1
42
(ii)
31
105
(iii)
(
−
31
105
)
(iv)
227
210
(v)
(
−
1
42
)
Question
16
16.
The sum of the roots of the quadratic equation
(
x
2
−
13
x
+
42
)
=
0
is
(i)
15
(ii)
13
(iii)
10
(iv)
12
(v)
14
Question
17
17.
The constant term in polynomial
(
7
s
t
+
9
s
−
4
t
2
+
7
)
is
(i)
8
(ii)
6
(iii)
10
(iv)
4
(v)
7
Question
18
18.
The coefficient of term
r
in polynomial
(
12
q
r
−
9
q
−
2
r
+
8
)
is
(i)
-1
(ii)
-4
(iii)
-3
(iv)
1
(v)
-2
Question
19
19.
The value of the polynomial
(
−
4
d
2
e
2
f
+
d
2
e
2
−
e
f
)
at
d
=
(-3)
,
e
=
(-5)
,
f
=
4
is
(i)
-3352
(ii)
-3354
(iii)
-3356
(iv)
-3355
(v)
-3357
Question
20
20.
The remainder when
(
−
y
2
+
7
y
)
is divided by
(
y
+
2
)
is
(i)
(
−
16
)
(ii)
(
−
19
)
(iii)
(
−
18
)
(iv)
(
−
21
)
(v)
(
−
17
)
Question
21
21.
Find the table of points that satisfy
the parabola equation
x
=
y
2
(i)
x
4
1
1
4
y
-2
-1
1
2
(ii)
x
4
1
-2
1
4
y
-2
-1
-2
1
2
(iii)
x
4
1
0
1
4
y
-2
-1
0
1
2
(iv)
x
4
1
0
1
6
y
-2
-1
0
1
4
(v)
x
4
1
0
0
4
y
-2
-1
0
2
2
Question
22
22.
If
α
=
9
4
,
β
=
3
8
,
γ
=
9
7
are the roots of the cubic equation
a
x
3
+
b
x
2
+
c
x
+
d
= 0
,
then find
b
a
(i)
135
32
(ii)
219
56
(iii)
(
−
135
32
)
(iv)
(
−
243
224
)
(v)
(
−
219
56
)
Question
23
23.
Which of the following are not polynomials?
a)
(
7
x
2
−
16
x
y
−
15
y
2
)
b)
144
x
2
c)
√x
d)
(
7
x
+
5
y
)
(
x
−
3
y
)
e)
(
x
−
3
y
)
(i)
{b,d,c}
(ii)
{c,d}
(iii)
{a,c}
(iv)
{e,a,c}
(v)
{b,d}
Question
24
24.
The given table of points satisfy which parabola equation?
x
-3
-2
-1
0
1
2
3
y
16
6
0
-2
0
6
16
(i)
y
=
(
2
x
2
−
4
)
(ii)
y
=
(
2
x
2
+
1
)
(iii)
y
=
(
3
x
2
−
2
)
(iv)
y
=
(
x
2
−
2
)
(v)
y
=
(
2
x
2
−
2
)
Question
25
25.
Find the table of points that satisfy
the parabola equation
y
=
(
−
9
x
2
)
(i)
x
-2
-1
0
0
2
y
-36
-9
0
-8
-36
(ii)
x
-2
-1
-2
1
2
y
-36
-9
-2
-9
-36
(iii)
x
-2
-1
0
1
2
y
-36
-9
0
-9
-36
(iv)
x
-2
-1
1
1
2
y
-36
-9
-1
-9
-36
(v)
x
-2
-1
0
1
4
y
-36
-9
0
-9
-34
Assignment Key
1) (v)
2) (iv)
3) (ii)
4) (iii)
5) (i)
6) (iii)
7) (iii)
8) (iv)
9) (v)
10) (ii)
11) (ii)
12) (ii)
13) (iv)
14) (ii)
15) (v)
16) (ii)
17) (v)
18) (v)
19) (iv)
20) (iii)
21) (iii)
22) (v)
23) (ii)
24) (v)
25) (iii)
