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A7
2008 PUMaC Algebra A7
2008 PUMaC Algebra A7
Source:
September 24, 2019
algebra
Problem Statement
Suppose
x
9
=
1
x^9 = 1
x
9
=
1
but
x
3
≠
1
x^3 \ne 1
x
3
=
1
. Find a polynomial of minimal degree equal to
1
1
+
x
\frac{1}{1+x}
1
+
x
1
.
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