This math topic focuses on understanding how the sign of polynomial expressions changes at specified points, particularly in contexts involving polynomial factors raised to different powers (or multiplicities). The problems deal with evaluating whether a sign change occurs at or around specific x-values, given polynomials composed of multiple factors. This is an explorative introduction to polynomial inequalities, teaching students to analyze how the behavior of polynomials is influenced by their zeroes and respective multiplicities.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.