Homogeneous polynomial

id: homogeneous-polynomial-259-8929374
title: Homogeneous polynomial
text: In mathematics, a homogeneous polynomial, sometimes called quantic in older texts, is a polynomial whose nonzero terms all have the same degree. For example, x 5 + 2 x 3 y 2 + 9 x y 4 is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5. The polynomial x 3 + 3 x 2 y + z 7 is not homogeneous, because the sum of exponents does not match from term to term. The function defined by a homogeneous polynomial is always a homogeneous function. An al
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category slug: encyclopedia
description: Polynomial whose nonzero terms all have the same degree
original url: https://en.wikipedia.org/wiki/Homogeneous_polynomial
date created:
date modified: 2024-02-07T12:03:48Z
main entity: {"identifier":"Q1474074","url":"https://www.wikidata.org/entity/Q1474074"}
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