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
(
−
7
q
−
9
)
at
q
=
0
is
(i)
-10
(ii)
-8
(iii)
-12
(iv)
-6
(v)
-9
Question
2
2.
The value of the polynomial
(
−
6
g
2
+
7
g
−
5
)
at
g
=
5
is
(i)
-119
(ii)
-117
(iii)
-120
(iv)
-121
(v)
-123
Question
3
3.
The value of the polynomial
(
7
b
3
+
4
b
+
5
)
at
b
=
5
is
(i)
901
(ii)
902
(iii)
899
(iv)
900
(v)
898
Question
4
4.
The value of the polynomial
(
−
4
j
4
+
8
j
3
+
7
j
2
−
4
j
+
4
)
at
j
=
5
is
(i)
-1341
(ii)
-1343
(iii)
-1340
(iv)
-1338
(v)
-1342
Question
5
5.
The value of the polynomial
(
−
3
)
at
q
=
(-4)
,
r
=
3
,
s
=
(-5)
is
(i)
0
(ii)
-4
(iii)
-2
(iv)
-3
(v)
-5
Question
6
6.
Find the value of
k
such that
k
x
3
+
6
x
2
−
24
x
−
40
is exactly divisible by
(
x
+
2
)
(i)
3
(ii)
5
(iii)
6
(iv)
2
(v)
4
Question
7
7.
If
3
2
and
(
-3
2
)
are the zeros of the polynomial
f
(
x
)
=
8
x
4
+
b
x
3
+
a
x
2
−
45
x
+
108
, find the value of
a
and
b
(i)
-66
,
21
(ii)
19
,
-67
(iii)
-66
,
20
(iv)
21
,
-65
(v)
-65
,
20
Question
8
8.
Find the value of
a
and
b
such that
b
x
4
−
4
x
3
−
30
x
2
+
a
x
+
27
is exactly divisible by
(
2
x
2
−
x
−
3
)
(i)
9
,
9
(ii)
9
,
8
(iii)
7
,
8
(iv)
10
,
8
(v)
9
,
10
Question
9
9.
If
-1
is the zero of the polynomial
f
(
x
)
=
x
2
+
k
x
−
5
,
find
k
(i)
-5
(ii)
-2
(iii)
-4
(iv)
-3
(v)
-6
Question
10
10.
If the polynomial
f
(
x
)
=
x
2
+
k
x
−
3
is exactly divisible by
(
x
−
1
)
,
find
k
(i)
2
(ii)
1
(iii)
-1
(iv)
3
(v)
4
Question
11
11.
Which of the following are true?
a)
Zero of a polynomial and root of the polynomial are synonymous
b)
A linear polynomial in one variable has only one root
c)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
d)
Zero of a polynomial and zero polynomial are synonymous
e)
If (x - a) is a factor of f(x), then f(a) = 0
f)
If (x + a) is a factor of f(x), then f(a) = 0
g)
A polynomial of degree n has atmost n zeros
(i)
{d,e,g}
(ii)
{d,a}
(iii)
{a,b,c,e,g}
(iv)
{d,f,c}
(v)
{f,b}
Question
12
12.
Given
f
(
k
)
=
(
−
4
k
+
4
)
,
find
f
(
2
)
(i)
-4
(ii)
-2
(iii)
-6
(iv)
-3
(v)
-5
Question
13
13.
Given
f
(
y
)
=
(
−
6
y
2
−
3
y
−
2
)
,
find
f
(
5
)
(i)
-169
(ii)
-168
(iii)
-164
(iv)
-166
(v)
-167
Question
14
14.
Given
f
(
i
)
=
(
4
i
3
−
5
i
2
−
2
)
,
find
f
(
(-3)
)
(i)
-156
(ii)
-155
(iii)
-152
(iv)
-158
(v)
-154
Question
15
15.
Given
f
(
i
)
=
(
6
i
4
+
4
i
3
−
3
i
2
+
3
i
−
1
)
,
find
f
(
(-4)
)
(i)
1218
(ii)
1219
(iii)
1216
(iv)
1220
(v)
1222
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (i)
5) (iv)
6) (v)
7) (iii)
8) (ii)
9) (iii)
10) (i)
11) (iii)
12) (i)
13) (v)
14) (ii)
15) (ii)
