Ruffini-Horner Method for a Polynomial in Powers of x-h
This Demonstration shows the transformation of a polynomial in powers of into a polynomial in powers of using the Ruffini–Horner method.
Given a polynomial
find a way to express it as a polynomial in :
One method is to use a Taylor series
Another way is to make use of synthetic division, discovered by Ruffini in 1804 and Horner in 1819.
 Wikipedia. "Paolo Ruffini." (Dec 12, 2016) en.wikipedia.org/wiki/Paolo_Ruffini.
 Wikipedia. "William George Horner." (Dec 12, 2016) en.wikipedia.org/wiki/William_George_Horner.