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.