Roots of Polynomials

A direct corollary of the fundamental theorem of algebra [9, p. 247] is that p(x) can be factorized over the complex domain into a product an(x − r1)(x − r2) · · · (x − rn), where an is the leading coefficient and r1, r2, . . . , rn are all of its n complex roots. We will look at how to find roots, or zeros, of polynomials in one variable. In theory, root finding for multi-variate polynomials can be transformed into that for single-variate polynomials.