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National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2008 Hanoi Open Mathematics Competitions
6
6
Part of
2008 Hanoi Open Mathematics Competitions
Problems
(1)
P(x^2-1)=x^4-3x^2+3, P(x^2+1) = ? (HOMC 2008 J Q6)
Source:
7/25/2019
Let
P
(
x
)
P(x)
P
(
x
)
be a polynomial such that
P
(
x
2
−
1
)
=
x
4
−
3
x
2
+
3
P(x^2 - 1) = x^4 - 3x^2 + 3
P
(
x
2
−
1
)
=
x
4
−
3
x
2
+
3
. Find
P
(
x
2
+
1
)
P(x^2 + 1)
P
(
x
2
+
1
)
.
polynomial
algebra