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National and Regional Contests
Belgium Contests
Flanders Math Olympiad
1988 Flanders Math Olympiad
1
polynomial
polynomial
Source:
August 9, 2004
algebra
polynomial
Problem Statement
show that the polynomial
x
4
+
3
x
3
+
6
x
2
+
9
x
+
12
x^4+3x^3+6x^2+9x+12
x
4
+
3
x
3
+
6
x
2
+
9
x
+
12
cannot be written as the product of 2 polynomials of degree 2 with integer coefficients.
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