Polynomial and Rational Functions

The Polynomial and Rational Functions chapter in Math Algebra on STEM Calculators helps you understand, analyze, and work with higher-level functions that appear throughout algebra and precalculus. It includes interactive tools for polynomial functions (quadratic, cubic, and higher degree) and rational functions (ratios of polynomials), focusing on structure, behavior, and graph features that matter in real problem solving.

On this page you can simplify rational expressions, factor and cancel correctly, find zeros and x-intercepts, determine end behavior, and analyze key graph features such as holes, vertical asymptotes, horizontal or slant asymptotes, and turning points. Step-by-step outputs help you follow the algebra carefully, avoid domain mistakes, and connect each calculation to what you should see on the graph.

The difficulty level ranges from intermediate algebra to advanced high school and early college prep, making it ideal for students preparing for functions-heavy units and exams. Teachers can use it to demonstrate rational and polynomial behavior clearly, self-learners can practice with immediate feedback, and advanced users can quickly verify factoring, asymptotes, and graph analysis when working on modeling, optimization, and precalculus foundations.