Abstract

The Binomial theorem as we know gives a general rule for finding the expansions of expressions involving the sum or difference of two numbers raised to stated powers. In this paper a method of obtaining the same expansions which is similar to differentiation and integration is presented. This method appears easier and simpler compared to the traditional Binomial method of obtaining the expansions. This paper also discussed a different method of obtaining factorization of polynomials completely without the use of factor and remainder theorems.

  Keywords: Binomial theorem, polynomials, expansions, factorizations, differentiation, integration