Systems of polynomial equations

A system of polynomial equations involves multiple equations with variables raised to whole-number powers, like quadratics or cubics, that are solved together. The goal is to find values for the variables that satisfy all equations simultaneously. These systems can be thought of as a set of rules or conditions, and the solutions are points where all rules are met at once. They appear in various fields such as engineering, physics, and computer science for modeling relationships and solving complex problems involving multiple interconnected criteria.