MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2022 IOQM India
10
10
Part of
2022 IOQM India
Problems
(1)
IOQM 2022 P10
Source:
3/8/2022
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
)
.
algebra
polynomial
IOQM