# Roots - Research Article from World of Mathematics

This encyclopedia article consists of approximately 2 pages of information about Roots.
 This section contains 526 words (approx. 2 pages at 300 words per page) View a FREE sample A root of a function f is a number x such that f(x) = 0. The fundamental theorem of algebra states that if f is a polynomial of degree n with complex number coefficients then it has at most n roots. The problem of finding the roots of f has a four thousand year history. The ancient Egyptians (2000 BC) knew how to find the roots of a degree 2 polynomial equation (or quadratic equation) using the quadratic formula. In the 1500s, Girolamo Cardano discovered how to find the roots of any degree 3 polynomial (or cubic equation). Degree 4 polynomials (quartic equations) were soon easy to solve as well. However, Abel proved in 1827 that there is no general formula that can solve a polynomial of degree 5 (quintic equations) or higher. His discovery, in part, led to the development of modern algebra and group theory. Because of Abel's discovery, mathematicians gave up the...

 This section contains 526 words (approx. 2 pages at 300 words per page) View a FREE sample  