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1988 AIME Problems
13
x^2 - x - 1
x^2 - x - 1
Source:
March 19, 2006
algebra
polynomial
Problem Statement
Find
a
a
a
if
a
a
a
and
b
b
b
are integers such that
x
2
−
x
−
1
x^2 - x - 1
x
2
−
x
−
1
is a factor of
a
x
17
+
b
x
16
+
1
ax^{17} + bx^{16} + 1
a
x
17
+
b
x
16
+
1
.
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