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Junior Tuymaada Olympiad
2007 Junior Tuymaada Olympiad
2
2
Part of
2007 Junior Tuymaada Olympiad
Problems
(1)
a permutation of coefficients of trinomials , f(x) \geq g(x) for all real x?
Source: Tuymaada Junior 2007 p2
5/12/2019
Two quadratic trinomials
f
(
x
)
f (x)
f
(
x
)
and
g
(
x
)
g (x)
g
(
x
)
differ from each other only by a permutation of coefficients. Could it be that
f
(
x
)
≥
g
(
x
)
f (x) \geq g (x)
f
(
x
)
≥
g
(
x
)
for all real
x
x
x
?
algebra
trinomial
quadratic trinomial