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Putnam
1942 Putnam
A2
A2
Part of
1942 Putnam
Problems
(1)
Putnam 1942 A2
Source: Putnam 1942
3/1/2022
If a polynomial
f
(
x
)
f(x)
f
(
x
)
is divided by
(
x
−
a
)
2
(
x
−
b
)
(x-a)^{2} (x-b)
(
x
−
a
)
2
(
x
−
b
)
, where
a
≠
b
a\ne b
a
=
b
, derive a formula for the remainder.
Putnam
algebra
polynomial