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Mathematics
Problem
A quadratic polynomial
2
x
2
+
(
k
−
1
)
x
+
k
2x^2 + (k-1)x + k
2
x
2
+
(
k
−
1
)
x
+
k
leaves the same remainder on division by
x
−
1
x-1
x
−
1
and by
x
+
2
x+2
x
+
2
. Find the value of
k
k
k
.
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