Definition:Homogeneous Polynomial

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This page is about Homogeneous Polynomial. For other uses, see Homogeneous.


A homogeneous polynomial is a polynomial whose monomials with nonzero coefficients all have the same total degree.


Arbitrary Example $1$

The polynomial:

$\map P {x, y} = x^2 + 3 x y + y^2$

is a homogeneous polynomial in which the degree of each term is $2$.

Also see

  • Results about homogeneous polynomials can be found here.