Zeros of Certain Sums of Two Polynomials1

In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB 0 < t < ∞ or −∞ < t < ∞ , especially for A and B monic polynomials of the same degree. More precisely, we study generalizations and analogues of x − 1 n + x + 1 n and their factorizations.