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Putnam
1972 Putnam
B4
B4
Part of
1972 Putnam
Problems
(1)
Putnam 1972 B4
Source: Putnam 1972
2/17/2022
Show that for
n
>
1
n > 1
n
>
1
we can find a polynomial
P
(
a
,
b
,
c
)
P(a, b, c)
P
(
a
,
b
,
c
)
with integer coefficients such that
P
(
x
n
,
x
n
+
1
,
x
+
x
n
+
2
)
=
x
.
P(x^{n},x^{n+1},x+x^{n+2})=x.
P
(
x
n
,
x
n
+
1
,
x
+
x
n
+
2
)
=
x
.
Putnam
polynomial
Integers