Division (mathematics) | Polynomials | Computer algebra

Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version of the familiar arithmetic technique called long division. It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones. Sometimes using a shorthand version called synthetic division is faster, with less writing and fewer calculations. Another abbreviated method is polynomial short division (Blomqvist's method). Polynomial long division is an algorithm that implements the Euclidean division of polynomials, which starting from two polynomials A (the dividend) and B (the divisor) produces, if B is not zero, a quotient Q and a remainder R such that A = BQ + R, and either R = 0 or the degree of R is lower than the degree of B. These conditions uniquely define Q and R, which means that Q and R do not depend on the method used to compute them. The result R = 0 occurs if and only if the polynomial A has B as a factor. Thus long division is a means for testing whether one polynomial has another as a factor, and, if it does, for factoring it out. For example, if a root r of A is known, it can be factored out by dividing A by (x – r). (Wikipedia).

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Polynomial Long Division: Degree 4 Divided by Degree 1 (Missing Term)

This video explains how to perform polynomial division to divide a degree 4 polynomial by a degree 1 polynomial. http://mathispower4u.com

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From playlist Divide Polynomials using Long Division with monomial divisor

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From playlist Divide Polynomials using Long Division with monomial divisor

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From playlist Divide Polynomials using Long Division with monomial divisor

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From playlist Divide Polynomials using Long Division with monomial divisor

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From playlist Divide Polynomials using Long Division with monomial divisor

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From playlist Divide Polynomials using Long Division with monomial divisor

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From playlist Divide Polynomials using Long Division with monomial divisor

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From playlist Divide Polynomials using Long Division with linear binomial divisor

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More resources available at www.misterwootube.com

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If and only if | Quintic function | Mental calculation | Cyclic redundancy check | Polynomial | Pseudocode | Synthetic division | Polynomial remainder theorem | Algebra | Degree of a polynomial | Long division | Quotient | Quartic function | Euclidean domain | Graph of a function | GrΓΆbner basis | Rational root theorem | Algorithm | Tangent | Ruffini's rule