MathDB
Problems
Contests
Undergraduate contests
Putnam
1942 Putnam
A2
Putnam 1942 A2
Putnam 1942 A2
Source: Putnam 1942
March 1, 2022
Putnam
algebra
polynomial
Problem Statement
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.
Back to Problems
View on AoPS