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Homogeneous Polynomial (Noun)

Meaning

A polynomial consisting of terms all of the same degree.

Classification

Nouns denoting cognitive processes and contents.

Examples

  • A homogeneous polynomial of degree two is found in the equation of a circle.
  • The given expression x^2y + 3xy^2 is not a homogeneous polynomial since the degree of the terms differs.
  • A key property of homogeneous polynomials is that any variable can be factored out of every term.
  • The equation for the surface of a sphere in three-dimensional space is an example of a homogeneous polynomial of degree two.
  • Homogeneous polynomials are crucial in various aspects of algebra and geometric calculations.

Hypernyms

  • Multinomial
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