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Mathematics
Problem
A polynomial
p
(
x
)
p(x)
p
(
x
)
leaves a remainder of
3
3
3
when divided by
(
x
−
2
)
(x-2)
(
x
−
2
)
and a remainder of
−
5
-5
−
5
when divided by
(
x
+
1
)
(x+1)
(
x
+
1
)
. Find the remainder obtained when
p
(
x
)
p(x)
p
(
x
)
is divided by
(
x
−
2
)
(
x
+
1
)
(x-2)(x+1)
(
x
−
2
)
(
x
+
1
)
.
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