INAUGURATION OF KIFILIDEEN TRINOMIAL THEOREM OF NEGATIVE POWER OF – N BY EMPLOYING MATRIX AND STANDARDIZED TECHNIQUES

The Kifilideen trinomial theorem of positive power of n built on matrix and standardized procedures had been developed and implemented in company with the Kifilideen general power combination formula which helps to determine the terms in the kif expansion of trinomial expression of positive power of n. This research work inaugurated Kifilideen trinomial theorem of negative power of – n by employing matrix and standardized techniques. Matrix was used in this study to arrange the terms of the series of the negative power of the Kifilideen trinomial theorem. The Kifilideen general power combination formula of any term in the series of the Kifilideen trinomial theorem of negative power of – n was invented. The Kifilideen general term formula to determine the term of a given power combination was also originated. It has been proving that the theorem and formulas generated are accurate, reliable, easy and interesting. The theorem helps in generating the terms of Kifilideen trinomial theorem of negative power of – n in an orderly form and makes it easy in obtaining the power combination that produce any given term and vice versa.