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2014 Swedish Mathematical Competition
1
1
Part of
2014 Swedish Mathematical Competition
Problems
(1)
non-negative integer P(x), with p (1) = 7,p (10) = 2014
Source: 2014 Swedish Mathematical Competition p1
5/1/2021
Determine all polynomials
p
(
x
)
p(x)
p
(
x
)
with non-negative integer coefficients such that
p
(
1
)
=
7
p (1) = 7
p
(
1
)
=
7
and
p
(
10
)
=
2014
p (10) = 2014
p
(
10
)
=
2014
.
algebra
polynomial
Integer Polynomial