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Polynomials and Taylor`s Approximations

... polynomial of the form mx + b, and so many times it is useful to approximate such complicated expressions by a linear function of the form f (x) = mx + b. Because of simplicity in form and applicability of well–known algebraical and analytical operational rules, polynomials are often used for such p ...
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Horner's method

In mathematics, Horner's method (also known as Horner scheme in the UK or Horner's rule in the U.S.) is either of two things: (i) an algorithm for calculating polynomials, which consists of transforming the monomial form into a computationally efficient form; or (ii) a method for approximating the roots of a polynomial. The latter is also known as Ruffini–Horner's method.These methods are named after the British mathematician William George Horner, although they were known before him by Paolo Ruffini and, six hundred years earlier, by the Chinese mathematician Qin Jiushao.
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