4

Part of 2024 Azerbaijan Senior NMO

Problems(1)

polynom with coefficient 0 or 1

Source: Azerbaijan NMO 2024. Senior P4

P(x)

be a polynomial with the coefficients being

0

1

2023

P(0)=1

, then prove that every real root of this polynomial is less than

\frac{1-\sqrt{5}}{2}

algebrapolynomialAZE SENIOR NATIONAL MO