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Recent questions in Class 9
Questions
>>
Olympiad-Math
>>
Class 9
Class 9
Logical Reasoning
Number Systems
Polynomials
Coordinate Geometry
Euclid Geometry
Linear Equations
Lines and Angles
Triangles, circles and quadrilaterals
Surface Areas and Volumes
Statistics and Probability
Logical and Analytical Reasoning
Everyday Mathematics
If
x
4
+
1
x
4
=
119
,then
x
3
−
1
x
3
is _______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
4
x
2
+
1
x
2
=
12
,then
8
x
3
+
1
x
3
is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
The value of
(
0.013
)
3
+
(
0.007
)
3
(
0.013
)
2
−
0.013
×
0.007
+
(
0.007
)
2
is ________
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
The value of
(
2.3
)
3
−
0.027
(
2.3
)
2
+
0.69
+
0.09
is
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
(
x
+
1
)
3
−
(
x
−
1
)
3
=________
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
Given that
(
x
+
9
)
is a factor of
x
3
+
13
x
2
+
31
x
−
45
,then the other factors are _______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
x
=
1
2
is a zero of the polynomial
f
(
x
)
=
8
x
3
+
a
x
2
−
4
x
+
2
,then the value of
′
a
′
is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
When
x
3
+
4
x
2
+
4
x
−
3
is divided by
x
,then the remainder is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
f
(
x
)
=
x
4
−
2
x
3
+
3
x
2
−
a
x
−
b
when divided by
x
−
1
,the remainder is
6
,then the value of
a
+
b
is _______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
(
x
+
2
)
and
(
x
+
1
)
are the factors of
x
3
+
13
x
2
+
32
x
+
20
,then the other factor is
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
Let
f
(
x
)
be a polynomial such that
f
(
−
1
2
)
=
0
,then the factor of
f
(
x
)
is _____
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
(
x
+
2
)
is a factor of
x
4
+
m
x
+
14
,then
m
=
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
(
x
−
a
)
is a factor of
x
4
−
a
2
x
2
+
3
x
−
6
a
,then
a
=______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
x
140
+
2
x
151
+
k
is divisible by
x
+
1
,then the value of
k
is
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
When
x
3
−
2
x
2
+
a
x
−
b
is divided by
x
2
−
2
x
−
3
,the remainder is
x
−
6
,the values of
a
and
b
are _____
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
x
2
+
x
+
1
is a factor of the polynomial
3
x
3
+
8
x
2
+
8
x
+
3
+
5
k
,then the value of
k
is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
x
51
+
51
is divided by
(
x
+
1
)
,then the remainder is
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
x
+
a
is a factor of
x
4
−
a
2
x
2
+
3
x
−
6
a
then
a
=_____
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
x
+
1
is a factor of the polynomial
2
x
2
+
4
x
+
k
,then
k
=_____
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If both
x
−
2
and
x
−
1
2
are factors of
p
x
2
+
5
x
+
r
,then
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
x
−
3
is a factor of
x
2
−
a
x
−
15
,then
a
=_____
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
One factor of
x
4
+
x
2
−
20
is
x
2
+
5
,then the other factor is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
A polynomial of degree
′
n
′
has ______ roots.
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
The factors of
x
3
−
8
x
2
+
17
x
−
10
is ________
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
(
x
−
3
)
is a factor of
x
2
+
4
x
+
k
then the value of
k
is _______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
The factors of
3
x
2
−
x
−
4
are ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If
(
x
+
a
)
is the HCF of
x
2
+
p
x
+
q
and
x
2
+
l
x
+
m
then the value of
′
a
′
is given by
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
If
(
x
11
+
1
)
is divided by
(
x
+
1
)
,then the remainder is _____
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The polynomials
k
x
3
+
4
x
2
+
3
x
−
4
and
x
3
−
4
x
+
k
leave the same remainder when divided by
(
x
−
3
)
then the value of
k
is
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
If
A
x
3
+
31
x
2
−
B
x
−
10
is exactly divisible by
2
x
2
+
9
x
−
5
,then the values of
A
and
B
are _______
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
6
x
2
+
a
x
+
7
when divided by
x
−
2
gives the remainder
13
.The value of
a
is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
If
(
x
−
a
)
is a factor of
x
3
−
m
x
2
−
2
a
n
x
+
n
a
2
then
a
=___ and
a
≠
0
.
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
If both
(
x
−
2
)
and
(
x
−
1
2
)
are factors of
p
x
2
+
5
x
+
r
,then
p
=_____
r
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The value of
k
if
(
x
−
1
)
is a factor of
P
(
x
)
=
k
x
2
−
√
2
x
+
1
is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
If
(
x
−
2
)
is a factor of
x
5
−
3
x
4
−
a
x
3
+
3
a
x
2
+
2
a
x
+
4
is _____
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The value of
k
if
P
(
x
)
=
x
3
−
k
x
2
+
11
x
−
6
and
(
x
−
1
)
is a factor of
P
(
x
)
is _____
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The value of
k
when
(
x
+
3
)
is a factor of
P
(
x
)
=
k
x
3
+
x
2
−
22
x
−
21
is ________
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The expression
2
x
3
+
a
x
2
+
b
x
−
2
leaves remainder
7
and
10
when divided by
2
x
−
3
and
x
+
2
respectively.The values of
a
and
b
are
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
Find the remainder when
x
3
−
a
x
2
+
6
x
−
a
is divided by
x
−
a
.
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
When
x
3
+
2
x
2
+
4
x
+
b
is divided by
x
+
1
the quotient is
x
2
+
a
x
+
3
and remainder is
−
3
+
2
b
.The values of
a
and
b
are
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
p
(
x
)
=
k
x
3
+
3
x
2
−
3
and
q
(
x
)
=
2
x
3
−
5
x
+
k
when divided by
x
−
4
leaves the same remainder in each case,the value of
k
is
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
6
x
2
+
a
x
+
7
when divided by
x
−
2
gives remainder
13
.The value of
a
is
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The remainder when
P
(
x
)
=
x
3
+
3
x
2
+
3
x
+
1
is divided by
x
−
1
2
is _____
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The remainder when
P
(
x
)
=
2
x
3
−
11
x
2
+
19
x
−
10
is divided by
2
x
−
5
is _______
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The value of the polynomial
3
x
2
+
2
x
−
1
when
x
=
2
is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
The value of the polynomial
5
x
−
4
x
2
+
3
when
x
=
2
is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 30, 2014
by
sreemathi.v
1
answer
If
sin
θ
+
cos
θ
=
1
then
cos
θ
−
sin
θ
=
______
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
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