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Mathematics
Problem
Let
p
(
x
)
=
2
x
3
+
k
x
2
+
5
x
−
7
p(x)=2x^3+kx^2+5x-7
p
(
x
)
=
2
x
3
+
k
x
2
+
5
x
−
7
. The remainders obtained on dividing
p
(
x
)
p(x)
p
(
x
)
by
x
−
1
x-1
x
−
1
and
x
+
2
x+2
x
+
2
are equal. Find the value of
k
k
k
.
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