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 generalised 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.

Polynomial long division is an algorithm that implement 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 define uniquely Q and R, which means that Q and R do not depend on the method used to compute them.

Other articles related to "polynomial long division, polynomial, polynomials, division":

Polynomial Long Division - Applications - Finding Tangents To Polynomials
... Polynomial long division can be used to find the equation of the line that is tangent to the graph of the function defined by the polynomial P(x) at a particular ... of whether or not r is a root of the polynomial) ...
Greatest Common Divisor Of Two Polynomials - GCD By Hand Writing Computation - Euclidean Algorithm
... Factoring polynomials can be difficult, especially if the polynomials have large degree ... is a method which works for any pair of polynomials ... It makes repeated use of polynomial long division or synthetic division ...

Famous quotes containing the words division and/or long:

For in the division of the nations of the whole earth he set a ruler over every people; but Israel is the Lord’s portion: whom, being his firstborn, he nourisheth with discipline, and giving him the light of his love doth not forsake him. Therefore all their works are as the sun before him, and his eyes are continually upon their ways.
Apocrypha. Ecclesiasticus 17:17-9.

Then I said to myself, “What happens to the fool will happen to me also; why then have I been so very wise?” And I said to myself that this also is vanity. For there is no enduring remembrance of the wise or of fools, seeing that in the days to come all will have been long forgotten. How can the wise die just like fools?
Bible: Hebrew, Ecclesiastes 2:15-16.