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Nordic
1989 Nordic
1
1
Part of
1989 Nordic
Problems
(1)
P(x), integer, integer roots, P(0) =-1,P(3) = 128
Source: Nordic Mathematical Contest 1989 #1
10/5/2017
Find a polynomial
P
P
P
of lowest possible degree such that (a)
P
P
P
has integer coefficients, (b) all roots of
P
P
P
are integers, (c)
P
(
0
)
=
ā
1
P(0) = -1
P
(
0
)
=
ā
1
, (d)
P
(
3
)
=
128
P(3) = 128
P
(
3
)
=
128
.
Integer Polynomial
integer root
algebra