ON THE LOCATION OF THE ZEROS OF POLYNOMIALS


Dragomir Simeunović




In this paper we determine in the complex plane regions containing the zeros of the polynomial $P(z)=z^n+a_1z^{n-1}+a_2z^{n-2}+\dots+a_{n-1}z+a_n$, $n\geq 3$. We also obtain an expression which represents a upper bound for the moduli of the zeros of $P(z)$.