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Ecuador Mathematical Olympiad (OMEC)
2021 Ecuador NMO (OMEC)
2
2
Part of
2021 Ecuador NMO (OMEC)
Problems
(1)
Polynomial square and cube at the same time
Source: OMEC Ecuador National Olympiad Final Round 2021 N3 P2 day 1
11/7/2024
Let
P
(
x
)
P(x)
P
(
x
)
a grade 3 polynomial such that:
P
(
1
)
=
1
,
P
(
2
)
=
4
,
P
(
3
)
=
9
P(1)=1, P(2)=4, P(3)=9
P
(
1
)
=
1
,
P
(
2
)
=
4
,
P
(
3
)
=
9
Find the value of
P
(
10
)
+
P
(
ā
6
)
P(10)+P(-6)
P
(
10
)
+
P
(
ā
6
)
algebra
polynomial
national olympiad