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In attempt to prove Newton¿s linear equation using several methods. New formulae were obtained for eight rectilinear motion and several other new formulae were obtained for linear momentum, energy, power, and projectiles.Newton¿s linear equation of motion is related to other physical quantities in mechanics. They include: work, energy, impulse, linear momentum, power and projectiles.Little modification of linear equation, will affect these quantities, leading to new formula that will better explain them.
The research work is aimed at proofing equations of linear motion through normal formula derivation, calculus notations with a new innovation using matrices to express the equation of linear motion: as well as other physical quantities in mechanics such as: force, work, impulse, linear, momentum, pressure and power in a connective manner.It also tries to relate Sir Isaac Newton¿s (1642 ¿ 1728) laws of motion to the experimental works of the great Italian physicist Galileo Galilei (1564 ¿ 1642).
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.
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