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Problem
#PRU-64411
Problems
Calculus
Derivative
Derivative and multiple roots
15–16
3.0
Problem
Prove that for
n
>
0
the polynomial
x
2
n
+
1
−
(
2
n
+
1
)
x
n
+
1
+
(
2
n
+
1
)
x
n
−
1
is divisible by
(
x
−
1
)
3
.
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