ABSTRACT

A great percentage of the middle and secondary school curriculum is centered on polynomials: adding them, multiplying them, and most importantly, finding solutions (or roots) of polynomial equations. For starters, polynomials are in widespread use in modeling applications in real life, and finding roots of polynomials is the source of important mathematical problems. This chapter reviews methods of finding roots of quadratic equations and then branch into the intriguing techniques and findings involved in solving higher order equations. It concentrates only on polynomials, finding their roots, and examining their many applications. The chapter shows how the material can be used in the design of the calculator. A container manufacturer has just received a large order for metal boxes that must be able to hold 50 cubic inches. According to the Fundamental Theorem of Algebra, people know that a cubic equation should have several solutions. The secondary school curriculum focuses primarily on solving linear and quadratic equations.