Multivariate polynomials

Multivariate polynomials are mathematical expressions that involve multiple variables, each raised to different powers and combined using addition, subtraction, and multiplication. For example, in the polynomial \(3x^2y + 2xy^2 - 5x + 7\), both \(x\) and \(y\) are variables. These polynomials are used in various fields, including algebra, physics, and economics, to model complex relationships and solve problems involving several factors. They can represent surfaces or shapes in geometry and are essential for understanding more intricate mathematical concepts.