ΘΕΜΑΤΑ
1. Compute the minimum possible value of 
. 2. Find all real values of
such that
, list all possibilities for the ordered triple 
.
.5. The quartic (4th-degree) polynomial P(x) satisfies 
and attains its maximum value of 
at both 
and 
. Compute 
.
and attains its maximum value of at both and . Compute . 6. There exist two triples of real numbers 
such that 
are the roots to the cubic equation 
listed in increasing order. Denote those 
and 
. If 
, 
, and 
are the roots to monic cubic polynomial 
and 
, and 
are the roots to monic cubic polynomial 
, find 
.
such that are the roots to the cubic equation listed in increasing order. Denote those and . If , , and are the roots to monic cubic polynomial and , and are the roots to monic cubic polynomial , find .
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