MathDB
Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1962 Swedish Mathematical Competition
1
1
Part of
1962 Swedish Mathematical Competition
Problems
(1)
polynomial f(2x) = f'(x) f''(x)
Source: 1962 Swedish Mathematical Competition p1
3/21/2021
Find all polynomials
f
(
x
)
f(x)
f
(
x
)
such that
f
(
2
x
)
=
f
′
(
x
)
f
′
′
(
x
)
f(2x) = f'(x) f''(x)
f
(
2
x
)
=
f
′
(
x
)
f
′′
(
x
)
.
algebra
polynomial