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2024 pOMA
5
So you forgot an important case. Again.
So you forgot an important case. Again.
Source: pOMA 2024/5
November 14, 2024
algebra
polynomial
Problem Statement
Prove that there do not exist positive integers
a
,
b
,
c
a,b,c
a
,
b
,
c
such that the polynomial
P
(
x
)
=
x
3
−
2
a
x
2
+
3
b
x
−
6
c
P(x) = x^3 - 2^ax^2 + 3^bx - 6^c
P
(
x
)
=
x
3
−
2
a
x
2
+
3
b
x
−
6
c
has three integer roots.
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