On the Modes of Polynomials Derived from Nondecreasing Sequences

Donna Q. J. Dou, Arthur L. B. Yang

Wang and Yeh proved that if $P(x)$ is a polynomial with nonnegative and nondecreasing coefficients, then $P(x+d)$ is unimodal for any $d>0$. A mode of a unimodal polynomial $f(x)=a…