EduSahara™ Assignment
Name : Zeros of a Polynomial
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The value of the polynomial
(
6
t
−
8
)
at
t
=
(-3)
is
(i)
-27
(ii)
-26
(iii)
-25
(iv)
-28
(v)
-24
Question
2
2.
The value of the polynomial
(
8
j
2
+
j
+
3
)
at
j
=
5
is
(i)
206
(ii)
211
(iii)
207
(iv)
208
(v)
209
Question
3
3.
The value of the polynomial
(
2
z
3
+
3
z
2
+
z
)
at
z
=
1
is
(i)
8
(ii)
5
(iii)
6
(iv)
4
(v)
7
Question
4
4.
The value of the polynomial
(
−
9
p
4
−
8
p
3
−
5
p
2
−
4
p
+
6
)
at
p
=
5
is
(i)
-6766
(ii)
-6765
(iii)
-6763
(iv)
-6764
(v)
-6762
Question
5
5.
The value of the polynomial
(
−
k
l
)
at
k
=
(-2)
,
l
=
(-1)
,
m
=
5
is
(i)
1
(ii)
-2
(iii)
-1
(iv)
-3
(v)
-5
Question
6
6.
Find the value of
k
such that
8
x
4
+
60
x
3
+
k
x
2
−
24
x
−
160
is exactly divisible by
(
2
x
+
4
)
(i)
117
(ii)
119
(iii)
114
(iv)
116
(v)
115
Question
7
7.
If
5
and
(
-3
2
)
are the zeros of the polynomial
f
(
x
)
=
b
x
4
−
4
x
3
+
a
x
2
+
100
x
+
375
, find the value of
a
and
b
(i)
5
,
-114
(ii)
-115
,
4
(iii)
-115
,
5
(iv)
3
,
-116
(v)
-114
,
4
Question
8
8.
Find the value of
a
and
b
such that
8
x
4
+
b
x
3
−
8
x
2
+
a
x
is exactly divisible by
(
2
x
2
−
4
x
−
6
)
(i)
-25
,
23
(ii)
-23
,
25
(iii)
25
,
-24
(iv)
24
,
-23
(v)
24
,
-24
Question
9
9.
If
(
-5
2
)
is the zero of the polynomial
f
(
x
)
=
k
x
2
+
23
x
+
20
,
find
k
(i)
5
(ii)
4
(iii)
7
(iv)
6
(v)
9
Question
10
10.
If the polynomial
f
(
x
)
=
3
x
2
+
k
x
+
20
is exactly divisible by
(
3
x
+
5
)
,
find
k
(i)
18
(ii)
17
(iii)
14
(iv)
16
(v)
19
Question
11
11.
Which of the following are true?
a)
Zero of a polynomial and root of the polynomial are synonymous
b)
A polynomial of degree n has atmost n zeros
c)
A linear polynomial in one variable has only one root
d)
If (x - a) is a factor of f(x), then f(a) = 0
e)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
f)
Zero of a polynomial and zero polynomial are synonymous
g)
If (x + a) is a factor of f(x), then f(a) = 0
(i)
{a,b,c,d,e}
(ii)
{f,g,c}
(iii)
{f,a}
(iv)
{g,b}
(v)
{f,d,e}
Question
12
12.
Given
f
(
r
)
=
(
−
4
r
+
4
)
,
find
f
(
2
)
(i)
-4
(ii)
-2
(iii)
-5
(iv)
-3
(v)
-6
Question
13
13.
Given
f
(
u
)
=
(
−
7
u
2
−
8
u
+
9
)
,
find
f
(
(-4)
)
(i)
-72
(ii)
-73
(iii)
-70
(iv)
-71
(v)
-68
Question
14
14.
Given
f
(
t
)
=
(
7
t
3
−
3
t
2
−
3
t
)
,
find
f
(
4
)
(i)
388
(ii)
385
(iii)
387
(iv)
390
(v)
389
Question
15
15.
Given
f
(
i
)
=
(
5
i
4
+
9
i
3
+
8
i
2
−
4
i
+
2
)
,
find
f
(
0
)
(i)
-1
(ii)
4
(iii)
1
(iv)
3
(v)
2
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (iv)
5) (ii)
6) (iv)
7) (ii)
8) (v)
9) (iv)
10) (ii)
11) (i)
12) (i)
13) (iv)
14) (i)
15) (v)
