Binomial system is a system of analysis which involves two chances or possible outcomes of event which are the extreme ends of such event. In real life, there exists the mid or intermediary chance or possible outcome of some events if not all events making the possible outcome of such events to be three. For this scenario or instance, a trinomial system of analysis would be applicable. There is need to develop a model to analysis such scenario of trinomial system. This research work pres...

Mathematical Induction is a mathematical procedure of proving an established mathematical formulas, equations or theorems in order to validate and declear such formulas, equations or theorems to be true. There is need to present mathematical induction of mathematical fact so as to inbuilt more confidence in the established fact. This study makes available the mathematical induction of the constituents of Kifilideen trinomial theorem of negative power of – adopting series and sequence id...

The positive power of Kifilideen trinomial theorem based on matrix and standardized approach had been developed and implemented alongside the general power combination formula which helps to determine the terms in the kifilideen expansion of positive power of n of trinomial expression. This study inaugurated negative power of − n of kifilideen trinomial theorem using standardized and matrix methods. Matrix was used in this research work to arrange the terms of the series of the negative...

The use of binomial theorem to expand trinomial expression of particular power n requires a bit by bit breaking down of the expansion until the final answer is obtained. This method had been seen not direct enough and involve repeated application up to the final results is achieved which make the method to be unattractive. There is need to develop a direct and straight way expanding trinomial expression of any power. Thisstudy utilized kifilideen trinomial theorem based on matrix appro...

Overtime the arrangement of the terms of the trinomial expansion of power of n has been an issue in the area of orderliness and periodicity which as make it difficult to assign each element of the expansion in a standardize term. This study developsKifilideen trinomial theorem using matrix approach. The Kifilideen equations to determine the power combination of any term of kif trinomial expansion and position of any term in the series of the expansion in a group or column of a kif matri...

Human day to day activities especially in the sector or area which involves reoccurrence of events always landed into mathematical problems which demands different kinds of power of different bases. Overtime the conversion of power of base of one number to another or to the power of base ten has been difficult to do except with the use of calculator. Due to this the mathematical process of evaluation of mathematical problem is slowed down when calculator is not available. The utilization of ...