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India IOQM
2022 IOQM India
10
IOQM 2022 P10
IOQM 2022 P10
Source:
March 8, 2022
algebra
polynomial
IOQM
Problem Statement
Suppose that
P
P
P
is the polynomial of least degree with integer coefficients such that
P
(
7
+
5
)
=
2
(
7
−
5
)
P(\sqrt{7} + \sqrt{5}) = 2(\sqrt{7} - \sqrt{5})
P
(
7
+
5
)
=
2
(
7
−
5
)
Find
P
(
2
)
P(2)
P
(
2
)
.
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