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4
2006 SMT Team Round #4 - What Polynomial?
2006 SMT Team Round #4 - What Polynomial?
Source:
August 22, 2011
algebra
polynomial
Problem Statement
Let
x
+
y
=
a
x+y=a
x
+
y
=
a
and
x
y
=
b
xy=b
x
y
=
b
. The expression
x
6
+
y
6
x^6+y^6
x
6
+
y
6
can be written as a polynomial in terms of
a
a
a
and
b
b
b
. What is this polynomial?
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