Ruffini's rule - Factbites

Ruffini's rule - Factbites
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Topic: Ruffini's rule

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	Ruffini's rule - Encyclopedia Glossary Meaning Explanation Ruffini's rule
		Ruffini's rule is a special case of long division when the divisor is a linear factor.
		Ruffini's rule has many practical applications; most of them rely on simple division (as demonstrated below) or the common extensions given still further below.
		In mathematics, Ruffini's rule allows the rapid division of any polynomial by a binomial of the form x − r.
	www.encyclopedia-glossary.com /en/Ruffinis-rule.html (1348 words)

	Paolo Ruffini Biography / Biography of Paolo Ruffini World of Mathematics Biography
		Ruffini later developed the basic rule for determining the quotient and the remainder resulting from the division of a polynomial in the variable x by a binomial of the form x-a, using approximation by means of infinite algorithms.
		Paolo Ruffini made significant contributions in the areas of medicine and philosophy, as well as mathematics, where he developed the theory that a quintic equation cannot be solved by radicals.
		Ruffini was relieved of his post in 1798 and returned to scientific research, but was banned from teaching or holding a public office after he refused to swear an oath of allegiance to the republic, citing religious reasons.
	www.bookrags.com /biography-paolo-ruffini-wom (824 words)

	Paolo Ruffini Biography / Biography of Paolo Ruffini World of Mathematics Biography
		Ruffini later developed the basic rule for determining the quotient and the remainder resulting from the division of a polynomial in the variable x by a binomial of the form x-a, using approximation by means of infinite algorithms.
		Ruffini was relieved of his post in 1798 and returned to scientific research, but was banned from teaching or holding a public office after he refused to swear an oath of allegiance to the republic, citing religious reasons.
		Ruffini moved on to apply his manner of thinking to philosophical and biological matters, determining that the faculties of the soul could not be measured because they do not correspond to magnitudes.
	www.bookrags.com /biography-paolo-ruffini-wom (824 words)

	Ruffini's rule - Wikipedia, the free encyclopedia
		Ruffini's rule is a special case of long division when the divisor is a linear factor.
		In mathematics, Ruffini's rule allows the rapid division of any polynomial by a binomial of the form x â’ r.
		The algorithm is in fact the long division of P ( x) by Q ( x).
	en.wikipedia.org /wiki/Ruffini's_rule (824 words)

	Polynomial long division - Wikipedia, the free encyclopedia
		Synthetic division is also called division through Ruffini's rule and was described by Paolo Ruffini in 1809.
		In fact, in synthetic division, we disregard the coefficient of the leading power of x in the divisor, since it is assumed to be 1 (other cases will be taken care of later).
		In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of lower degree, a generalized version of the familiar arithmetic technique called long division.
	en.wikipedia.org /wiki/Polynomial_long_division (824 words)

	Paolo Ruffini - Encyclopedia Glossary Meaning Explanation Paolo Ruffini
		Among his work was the proof that quintic (and higher-order) equations cannot be solved by radicals and Ruffini's rule, a quick method for polynomial division.
		Paolo Ruffini (Valentano, 1765 ‑ Modena, 1822) was an Italian mathematician and philosopher.
		Paolo Ruffini - Encyclopedia Glossary Meaning Explanation Paolo Ruffini.
	www.encyclopedia-glossary.com /en/Paolo-Ruffini.html (114 words)

	Paolo Ruffini - Wikipedia, the free encyclopedia
		Among his work was the proof that quintic (and higher-order) equations cannot be solved by radicals and Ruffini's rule, a quick method for polynomial division.
		Paolo Ruffini (Valentano, 1765 â‘ Modena, 1822) was an Italian mathematician and philosopher.
	en.wikipedia.org /wiki/Paolo_Ruffini (114 words)

	Horner scheme - Wikipedia, the free encyclopedia
		The Horner scheme can also be viewed as a fast algorithm for dividing a polynomial by a linear polynomial (see Ruffini's rule).
		In the mathematical subfield of numerical analysis the Horner scheme or Horner algorithm, named after William George Horner, is an algorithm for the efficient evaluation of polynomials in monomial form.
		Even though it is named after William George Horner, who described the algorithm in 1819, it was already known to Isaac Newton in 1669 and even to the Chinese mathematician Ch'in Chiu-Shao around 1200s.
	en.wikipedia.org /wiki/Horner's_rule (114 words)

	Horner scheme - Wikipedia, the free encyclopedia
		The Horner scheme can also be viewed as a fast algorithm for dividing a polynomial by a linear polynomial (see Ruffini's rule).
		In the mathematical subfield of numerical analysis the Horner scheme or Horner algorithm, named after William George Horner, is an algorithm for the efficient evaluation of polynomials in monomial form.
		Even though it is named after William George Horner, who described the algorithm in 1819, it was already known to Isaac Newton in 1669 and even to the Chinese mathematician Ch'in Chiu-Shao around 1200s.
	en.wikipedia.org /wiki/Horner_scheme (362 words)

	Horner scheme - Wikipedia, the free encyclopedia
		The Horner scheme can also be viewed as a fast algorithm for dividing a polynomial by a linear polynomial (see Ruffini's rule).
		In the mathematical subfield of numerical analysis the Horner scheme or Horner algorithm, named after William George Horner, is an algorithm for the efficient evaluation of polynomials in monomial form.
		Even though it is named after William George Horner, who described the algorithm in 1819, it was already known to Isaac Newton in 1669 and even to the Chinese mathematician Ch'in Chiu-Shao around 1200s.
	en.wikipedia.org /wiki/Horner_scheme (407 words)

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Topic: Ruffini's rule

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