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Byju's Answer
Standard IX
Mathematics
Remainder Theorem
If 4x-1 divid...
Question
If
4
x
−
1
divides
p
(
x
)
=
32
x
3
+
8
x
2
−
4
x
, the remainder obtained is 0.
A
True
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B
False
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Solution
The correct option is
A
True
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Similar questions
Q.
If
p
(
x
)
=
2
x
3
−
3
x
2
+
4
x
−
5
. Find the remainder when
p
(
x
)
is divided by ,
x
−
1
Q.
By Remainder Theorem find the remainder, when
p
(
x
)
is divided by
g
(
x
)
, where
p
(
x
)
=
x
3
−
2
x
2
−
4
x
−
1
,
g
(
x
)
=
x
+
1
.
Q.
If the quotient obtained on dividing
(
8
x
4
−
2
x
2
+
6
x
−
7
)
by
(
2
x
+
1
)
is
(
4
x
3
+
p
x
2
−
q
x
+
3
)
then find
p
,
q
and also the remainder.
Q.
The remainder obtained when (
x
4
+
4
x
3
+
2
) is divided by (
x
+
1
) =
.
Q.
Find the divisor
g
(
x
)
, when the polynomial
p
(
x
)
=
4
x
3
+
2
x
2
−
10
x
+
2
is divided by
g
(
x
)
and the quotient and remainder obtained are
(
2
x
2
+
4
x
+
1
)
and
5
respectively
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