multivariable polynomials

Multivariable polynomials are mathematical expressions involving variables (like x, y, z) raised to various powers and combined using addition, subtraction, and multiplication. For example, an expression like \(3x^2 + 2xy - y^3\) involves two variables, x and y, and combines different powers and products of these variables. They are used to model relationships where more than one factor influences the outcome, such as in physics, economics, or engineering. These polynomials extend the concept of single-variable polynomials to multiple dimensions, capturing more complex systems and interactions.