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Byju's Answer
Standard VIII
Mathematics
Polynomial
Let Px is p...
Question
Let
P
(
x
)
is polynomial of degree
4
such that
P
(
1
)
=
2
,
P
(
2
)
=
5
,
P
(
3
)
=
10
and
P
(
4
)
=
17
then
P
(
5
)
=
......
A
26
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B
50
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C
35
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D
60
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Open in App
Solution
The correct option is
B
50
If
P
(
x
)
is polynomial of degree
4
such that,
P
(
1
)
=
2
,
P
(
2
)
=
5
,
P
(
3
)
=
10
and
P
(
4
)
=
17
then,
The required polynomial is
P
(
x
)
=
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
(
x
−
4
)
+
x
2
+
1
Now
P
(
5
)
=
(
5
−
1
)
(
5
−
2
)
(
5
−
3
)
(
5
−
4
)
+
5
2
+
1
⟹
P
(
5
)
=
4
×
3
×
2
×
1
+
25
+
1
⟹
P
(
5
)
=
24
+
26
∴
P
(
5
)
=
50
Suggest Corrections
1
Similar questions
Q.
If P(x) is polynomial of degree
4
with leading coefficient as three such that
P
(
1
)
=
2
,
P
(
2
)
=
8
,
P
(
3
)
=
18
,
P
(
4
)
=
32
, then the value of
P
(
5
)
is :
Q.
Consider a polynomial of degree
4
with leading coefficient
2
such that
P
(
1
)
=
1
,
P
(
2
)
=
16
,
P
(
3
)
=
81
,
P
(
4
)
=
256
then
P
(
5
)
is :
Q.
Let
P
(
x
)
=
x
6
+
a
x
5
+
b
x
4
+
c
x
3
+
d
x
2
+
e
x
+
f
be a polynomial such that
P
(
1
)
=
1
;
P
(
2
)
=
2
;
P
(
3
)
=
3
;
P
(
4
)
=
4
;
P
(
5
)
=
5
and
P
(
6
)
=
6
, then find the value of
P
(
7
)
.
Q.
Let
P
(
x
)
=
x
4
+
a
x
3
+
b
x
2
+
c
x
+
d
be a polynomial such that
P
(
1
)
=
1
,
P
(
2
)
=
8
,
P
(
3
)
=
27
,
P
(
4
)
=
64
, then find the remainder when
P
(
5
)
is divided by
5
.
Q.
A cubic polynomial P(x) is such that
P
(
1
)
=
1
,
P
(
2
)
=
2
,
P
(
3
)
=
3
and
P
(
4
)
=
5
. The value of
P
(
6
)
is:
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