Mathematics-Online lexicon: Polynomial Division

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	Mathematics-Online lexicon:
	Polynomial Division

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For polynomials

and

with

degree $\,q\le$ degree $\,p=n$ there exists two unique polynomials

and

with

$\displaystyle p = fq + r,$ degree $\displaystyle \,f = n-m,\,$ degree $\displaystyle \,r < m\, .$

This decomposition can be determined by division with remainder.

In particular for a root of follows that with degree $\,f=n-1$ .

Example:

automatically generated 4/ 8/2008