Factoring as Rewriting a Sum - Essay Example

Factoring out the greatest common factor was developed so as to improve the efficiency of algorithms in the 20th century. Even though it was not highly developed in the early centuries, major improvements have taken place in the 18th, 19th and 20th centuries. The factoring of the Greatest common factors was developed in a mounting manner, with the leaders embracing it. Factoring was a royal sport which, King sponsored inform of contests, and the ones who emerged best in Europe went from court to court to display their skills.

Techniques of trinomial factoring were secrets that were closely guarded and topics of betrayals and intrigues. According to Mano, (pg 16) it was also developed because it helps in proving theorems in the modern number theorem such as unique factorization. It also made the computation of GCD of big numbers more efficient since it does not require more steps in the division than five times the digits number (base 10) of the lesser integer. Trinomial factoring is generally aimed at improving complex integral operations and making them simpler.

In medical fields, Fractional trinomials have been suggested in studies involving epidemics to investigate functional forms of continuous predictor variables. In clinics, it has been more desirable to categorize patients into various prognosis groups. E.g. children, youths and adults, or diagnosis groups .E.g. ulcer, tumor, and cancer. Medical distributional measures like lower, middle and upper quartile are usually done in classified age groups (e.g. 15-20, 21-25…). It makes hospital operations involving numbers easier than when done in other ways.