On the Existence of Positive Roots for a Polynomial

Due to the nonlinearity of iteration, the solutions of many polynomial iterative equations can be obtained under very restrictive and complex conditions. Among the many conditions under which the existence of a solution for a polynomial iterative equation could be possible, the polynomial condition is singled out for special discussion and by use of the properties of power exponential indices, the sufficient conditions for the existence of positive roots for a polynomial are put forth.