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2000 Swedish Mathematical Competition
2
p(y^2-1) =? if p(y^2+1) = 6y^4 - y^2 + 5
p(y^2-1) =? if p(y^2+1) = 6y^4 - y^2 + 5
Source: 2000 Swedish Mathematical Competition p2
March 21, 2021
algebra
polynomial
Problem Statement
p
(
x
)
p(x)
p
(
x
)
is a polynomial such that
p
(
y
2
+
1
)
=
6
y
4
−
y
2
+
5
p(y^2+1) = 6y^4 - y^2 + 5
p
(
y
2
+
1
)
=
6
y
4
−
y
2
+
5
. Find
p
(
y
2
−
1
)
p(y^2-1)
p
(
y
2
−
1
)
.
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