MathDB
Problems
Contests
National and Regional Contests
Mathlinks Contests.
MathLinks Contest 6th
7.1
0671 product of irreducible polynomials 6th edition Round 7 p1
0671 product of irreducible polynomials 6th edition Round 7 p1
Source:
May 3, 2021
algebra
polynomial
6th edition
Problem Statement
Write the following polynomial as a product of irreducible polynomials in
Z
[
X
]
\mathbb{Z}[X]
Z
[
X
]
f
(
X
)
=
X
2005
ā
2005
X
+
2004.
f(X) = X^{2005} - 2005 X + 2004 .
f
(
X
)
=
X
2005
ā
2005
X
+
2004.
Justify your answer.
Back to Problems
View on AoPS