MathDB

2

Part of 2021 Turkey MO (2nd round)

Problems(1)

a polynomial with degree of d, d real roots and at least d coefficient is 1

Source: Turkey National Mathematical Olympiad 2021 P2

1/6/2022
If a polynomial with real coefficients of degree dd has at least dd coefficients equal to 11 and has dd real roots, what is the maximum possible value of dd?
(Note: The roots of the polynomial do not have to be different from each other.)
Polynomials