Implementation of Kifilideen Trinomial Theorem based on Matrix Approach in Computation of the Power of Base of Tri-Digits Number

Abstract

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 to be direct enough and involves repeated application up to the final result is achieved which makes the method to be unattractive. There is need to develop a direct and straight way in expanding trinomial expression of any power. This study implemented Kifilideen trinomial theorem based on matrix approach in computation of the power of base of tri – digits number. This method adopts Kif matrix approach in generating the power combination required in the evaluation. The use of Kifilideen trinomial theorem in expanding trinomial expression of positive power of n  helps to eliminate humdrum nature of using binomial theorem in expanding such trinomial expression of positive power of n The Kifilideen matrix approach in solving the tri – digits number of power n  does not involve the repeated multiplication of figures unlike the use of long multiplication approach in solving such problem.