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2019 BMT Spring
1
2019 BMT Individual 1
2019 BMT Individual 1
Source:
January 9, 2022
algebra
Problem Statement
Let
p
p
p
be a polynomial with degree less than
4
4
4
such that
p
(
x
)
p(x)
p
(
x
)
attains a maximum at
x
=
1
x = 1
x
=
1
. If
p
(
1
)
=
p
(
2
)
=
5
p(1) = p(2) = 5
p
(
1
)
=
p
(
2
)
=
5
, find
p
(
10
)
p(10)
p
(
10
)
.
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