Polinomi i primjene

U ovom radu proučavali smo pojam polinoma i njegov razvoj kroz osnovnoškolsko, srednjoškolsko i visokoškolsko obrazovanje. Polinomi se najprije spominju u sedmom razredu osnovne škole kad se obrađuje linearna funkcija. Zatim se u osmom razredu obraduje kvadratna funkcija, tj. polinom drugog stupnja. S obradom polinoma drugog stupnja nastavlja se u drugom razredu srednje škole. Polinomi višeg stupnja se obrađuju na kraju četvrtog razreda srednje škole, praćenjem toka funkcije pomoću diferencijalnog računa. U visokoškolskom obrazovanju, nadograđuje se i produbljuje znanje o polinomima te se dokazuju mnogi teoremi o polinomima koji se zatim koriste pri rješavanju zadataka. Osim što smo opisali razvoj polinoma kroz obrazovanje, uočili smo mnoge primjene polinoma i njihovu upotrebu u svakodnevnom životu. U zadacima smo ilustrirali kako se, koristeći znanje o polinomima, može pojednostaviti račun u naizgled kompliciranim zadacima.In this paper we have examined the concept of polynomial and its development through primary school, secondary school and university education. Polynomials are first mentioned in the seventh grade of primary school when a linear function is taught. It is followed by a quadratic function, i.e., a polynomial of the second degree which is taught in eighth grade and that continues in the second grade of secondary school. Polynomials of higher degrees are taught at the end of the fourth grade of secondary school when the students draw a graphic representation of a function using the differential calculus. The knowledge of polynomials is expanded and deepened in university education when many theorems are being proven and then used to solve tasks. Apart from describing the development of polynomials through education, we have noticed many applications of polynomials and their use in everyday life. We have illustrated how the knowledge of polynomials can be used to simplify the calculus in seemingly complicated tasks