# homogeneous polynomial meaning

ENWHomogeneous polynomial

- In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree. For example, is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5.
- A polynomial of degree 0 is always homogeneous; it is simply an element of the field or ring of the coefficients, usually called a constant or a scalar. A form of degree 1 is a linear form. A form of degree 2 is a quadratic form.
- Homogeneous polynomials are ubiquitous in mathematics and physics. They play a fundamental role in algebraic geometry, as a projective algebraic variety is defined as the set of the common zeros of a set of homogeneous polynomials.

- NounPLhomogeneous polynomialsPREhomo-SUF-nomial

## Definition of __homogeneous polynomial__ in English Dictionary

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Source: Wiktionary

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