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Bivariate Polynomial


A bivariate polynomial is a polynomial in two variables. Bivariate polynomials have the form

 f(x,y)=sum_(i,j)a_(i,j)x^iy^j.

A homogeneous bivariate polynomial, also called a binary form, has the form

 f(x,y)=sum_(i=0)^na_ix^iy^(n-i),

where n is the degree of f(x,y). The binary form f(x,y) above is often denoted <a_0,a_1,a_2,...,a_n>.


See also

Binary Form, Multivariate Polynomial, Polynomial, Univariate Polynomial, Variable

This entry contributed by David Terr

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Cite this as:

Terr, David. "Bivariate Polynomial." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BivariatePolynomial.html

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