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Mathematics
Problem
The polynomial
p
(
x
)
=
x
3
−
(
k
+
3
)
x
+
(
k
−
2
)
p(x)=x^{3}-(k+3)x+(k-2)
p
(
x
)
=
x
3
−
(
k
+
3
)
x
+
(
k
−
2
)
leaves the same remainder when divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
. Find the value of
k
k
k
. a)
4
4
4
b)
2
2
2
c)
0
0
0
d)
1
1
1
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