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1200
Remainder at Five
Editorial
algebra
polynomials
modular arithmetic
Let
R
(
x
)
R(x)
R
(
x
)
be the remainder when the polynomial
x
2026
+
1
x^{2026} + 1
x
2026
+
1
is divided by
x
2
−
x
+
1
x^2 - x + 1
x
2
−
x
+
1
. What is the value of
R
(
5
)
R(5)
R
(
5
)
?
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