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All-Russian Olympiad Regional Round
2009 All-Russian Olympiad Regional Round
10.1
10.1
Part of
2009 All-Russian Olympiad Regional Round
Problems
(1)
f(x)) ^3- f(x)$ has exactly three real roots, , trinomial
Source: All-Russian MO 2009 Regional 10. 1
8/27/2024
Square trinomial
f
(
x
)
f(x)
f
(
x
)
is such that the polynomial
(
f
(
x
)
)
3
ā
f
(
x
)
(f(x)) ^3- f(x)
(
f
(
x
)
)
3
ā
f
(
x
)
has exactly three real roots. Find the ordinate of the vertex of the graph of this trinomial.
algebra
polynomial