MathDB
Problems
Contests
National and Regional Contests
Azerbaijan Contests
Azerbaijan IZHO TST
2023 Azerbaijan IZhO TST
2023 Azerbaijan IZhO TST
Part of
Azerbaijan IZHO TST
Subcontests
(1)
2
1
Hide problems
Polynomial
P(x) is polynomial such that, polynomial P(P(x)) is strictly monotone in all real number line. Prove that polynomial P(x) is also strictly monotone in all real number line.