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2013 Greece Team Selection Test
1
Determine whether it is irreducible
Determine whether it is irreducible
Source: 2013 Greek 2nd TST,Pr.1
May 24, 2016
algebra
polynomial
Problem Statement
Determine whether the polynomial
P
(
x
)
=
(
x
2
−
2
x
+
5
)
(
x
2
−
4
x
+
20
)
+
1
P(x)=(x^2-2x+5)(x^2-4x+20)+1
P
(
x
)
=
(
x
2
−
2
x
+
5
)
(
x
2
−
4
x
+
20
)
+
1
is irreducible over
Z
[
X
]
\mathbb{Z}[X]
Z
[
X
]
.
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