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Mathematics
Mathematics
Problem
Let
p
(
x
)
p(x)
p
(
x
)
be the polynomial of least degree that has zeros
2
\sqrt{2}
2
and
−
2
-\sqrt{2}
−
2
and satisfies
p
(
1
)
=
5
p(1)=5
p
(
1
)
=
5
. Determine
p
(
x
)
p(x)
p
(
x
)
.
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