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Indonesia TST
2024 Indonesia TST
A
Second degree polynomial
Second degree polynomial
Source: Indonesia TST Round 1-algebra
March 3, 2024
algebra
polynomial
Indonesia
Indonesia TST
Problem Statement
Find all second degree polynomials
P
(
x
)
P(x)
P
(
x
)
such that for all
a
∈
R
,
a
≥
1
a \in\mathbb{R} , a \geq 1
a
∈
R
,
a
≥
1
, then
P
(
a
2
+
a
)
≥
a
.
P
(
a
+
1
)
P(a^2+a) \geq a.P(a+1)
P
(
a
2
+
a
)
≥
a
.
P
(
a
+
1
)
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