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Byju's Answer
Standard IX
Mathematics
Remainder Theorem
If a polynomi...
Question
If a polynomial
2
x
3
−
9
x
2
+
15
x
+
p
, when divided by
(
x
−
2
)
, leaves
−
p
as remainder, then
p
is equal to :
A
−
16
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B
−
5
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C
20
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D
10
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Solution
The correct option is
D
−
5
B
y
r
e
m
a
i
n
d
e
r
t
h
e
o
r
e
m
,
r
e
m
a
i
n
d
e
r
=
f
(
2
)
=
−
p
∴
2
×
2
3
−
9
×
2
2
+
15
×
2
+
p
=
−
p
∴
16
−
36
+
30
+
p
=
−
p
∴
2
p
=
−
10
∴
p
=
−
5
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1
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