Math & English Education : How to Solve Roots of Polynomials. In mathematics, a polynomial is an expression of the form. Where the ai belong to some field, which, in this article, is always the field of the complex numbers. The natural number n is known as the degree of the polynomial. In the following, p will be used to represent the polynomial, so we have: A root of the polynomial p is a solution of the equation p = 0, that is a complex number a such that p(a) = 0. The fundamental theorem of algebra combined with the factor theorem states that the polynomial p has n roots, if they are counted with their multiplicities. This article concerns various properties of the roots of p, essentially related to their location in the complex plane.
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