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
z
−
5
)
at
z
=
1
is
(i)
-10
(ii)
-13
(iii)
-14
(iv)
-12
(v)
-11
Question
2
2.
The value of the polynomial
(
−
9
n
2
+
8
n
+
5
)
at
n
=
0
is
(i)
6
(ii)
3
(iii)
5
(iv)
4
(v)
8
Question
3
3.
The value of the polynomial
(
−
4
x
3
+
5
x
+
6
)
at
x
=
4
is
(i)
-227
(ii)
-230
(iii)
-229
(iv)
-232
(v)
-231
Question
4
4.
The value of the polynomial
(
−
6
j
4
+
5
j
3
−
9
j
2
−
8
j
−
1
)
at
j
=
(-1)
is
(i)
-15
(ii)
-13
(iii)
-10
(iv)
-14
(v)
-12
Question
5
5.
The value of the polynomial
(
−
4
)
at
t
=
(-1)
,
u
=
(-3)
,
v
=
(-3)
is
(i)
-5
(ii)
-3
(iii)
-1
(iv)
-6
(v)
-4
Question
6
6.
Find the value of
k
such that
8
x
3
−
28
x
2
+
14
x
+
k
is exactly divisible by
(
2
x
−
3
)
(i)
15
(ii)
14
(iii)
16
(iv)
18
(v)
12
Question
7
7.
If
3
2
and
(
-5
2
)
are the zeros of the polynomial
f
(
x
)
=
4
x
4
+
24
x
3
+
a
x
2
+
b
x
−
60
, find the value of
a
and
b
(i)
22
,
-59
(ii)
-60
,
20
(iii)
21
,
-58
(iv)
21
,
-59
(v)
-58
,
22
Question
8
8.
Find the value of
a
and
b
such that
a
x
4
+
b
x
3
−
24
x
2
−
43
x
−
20
is exactly divisible by
(
2
x
2
−
3
x
−
20
)
(i)
2
,
1
(ii)
2
,
3
(iii)
2
,
2
(iv)
3
,
1
(v)
0
,
1
Question
9
9.
If
6
is the zero of the polynomial
f
(
x
)
=
2
x
2
−
7
x
+
k
,
find
k
(i)
-28
(ii)
-33
(iii)
-30
(iv)
-31
(v)
-29
Question
10
10.
If the polynomial
f
(
x
)
=
6
x
2
+
k
x
+
12
is exactly divisible by
(
3
x
+
3
)
,
find
k
(i)
17
(ii)
18
(iii)
19
(iv)
15
(v)
21
Question
11
11.
Which of the following are true?
a)
Zero of a polynomial and root of the polynomial are synonymous
b)
If (x + a) is a factor of f(x), then f(a) = 0
c)
Zero of a polynomial is the value of the variable for which the polynomial value is zero
d)
If (x - a) is a factor of f(x), then f(a) = 0
e)
A linear polynomial in one variable has only one root
f)
A polynomial of degree n has atmost n zeros
g)
Zero of a polynomial and zero polynomial are synonymous
(i)
{b,a}
(ii)
{b,g,d}
(iii)
{a,c,d,e,f}
(iv)
{b,e,f}
(v)
{g,c}
Question
12
12.
Given
f
(
x
)
=
(
−
2
x
+
3
)
,
find
f
(
(-2)
)
(i)
4
(ii)
6
(iii)
8
(iv)
9
(v)
7
Question
13
13.
Given
f
(
r
)
=
(
−
9
r
2
+
2
r
−
3
)
,
find
f
(
4
)
(i)
-140
(ii)
-138
(iii)
-139
(iv)
-142
(v)
-137
Question
14
14.
Given
f
(
h
)
=
(
−
4
h
3
−
h
2
+
5
)
,
find
f
(
(-1)
)
(i)
8
(ii)
7
(iii)
5
(iv)
9
(v)
10
Question
15
15.
Given
f
(
n
)
=
(
n
4
+
6
n
3
−
5
n
2
−
2
n
+
2
)
,
find
f
(
4
)
(i)
552
(ii)
553
(iii)
557
(iv)
554
(v)
555
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (ii)
5) (v)
6) (i)
7) (iv)
8) (i)
9) (iii)
10) (ii)
11) (iii)
12) (v)
13) (iii)
14) (i)
15) (iv)
