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2
SMT 2023 Algebra Tiebreaker #2
SMT 2023 Algebra Tiebreaker #2
Source:
May 3, 2023
Problem Statement
f
(
x
)
f(x)
f
(
x
)
is a nonconstant polynomial. Given that
f
(
f
(
x
)
)
+
f
(
x
)
=
f
(
x
)
2
f(f(x)) + f(x) = f(x)^2
f
(
f
(
x
))
+
f
(
x
)
=
f
(
x
)
2
, compute
f
(
3
)
f(3)
f
(
3
)
.
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