An International Journal COMPUTERS & MATHEMATICS with application 38(1999) 1-10 P-Irreducibility of Binding Polynomials by Lihong Zhi and Zhuojun Liu {lzhi,zliu}@mmrc.iss.ac.cn Institute of Systems Science, Academia Sinica Beijing 100080, P.R. China (Received June 1998; revised and accepted March 1999) Abstract ----- The problem of deciding whether a polynomial of positive coefficients can be factored into polynomials of the same type is important for studying many physiological processes. An efficient method to decide positive irreducibility is highly valuable. The known criteria for positive irreducible polynomials need to know root location first. Here, we present a new criterion for positive polynomials of degree 3 or 4, which can be expressed only by the coefficients of the given polynomials. Keywords Bingding polynomial, Positive factorization, Positive irreducibility creiterion --------------------------------- Full paper available upon request