New Method of Factorizing Polynomial Functions.

      Аннотация: This research findings involves factorization of polynomial functions without using the popular or regular factor theorem, using the popular or regular factor theorem, long division or remainder theorem but makes use of the sum and difference of two powers; e.g. x2 – 1, x3 + 1, x3 – 1, x4 – 1 etc. A constant term is usually added and subtracted from the polynomial thereby resulting to sum and differences of two powers. Further simplifications will completely factorize the polynomials to the given factors.This research work contains over twenty theorems on polynomial functions that are systematically proven with lists of worked examples to buttress the theorems. It is a research that will be beneficial to the world at large, adding value to the body of knowledge. It is my hope that this theorem will soon be adopted into the school curriculum worldwide.

Ключевые слова: factorization, polynomials, quadratic equations, factor theorem, remainder theorem, sum and difference of the powers, difference of two squares, sum of theorem, two cubes