Foundational Algebra: Understanding Polynomials and Rational Expressions

Polynomials form the core language of algebra, serving as essential building blocks for advanced mathematical reasoning and quantitative modeling. This written course guides you step-by-step through key definitions, standard operations, and rational functions. You will learn to identify variables, coefficients, and degrees, perform polynomial arithmetic, and simplify expressions using factoring techniques. What you will learn: Understand foundational terms, polynomial degrees, and standard forms. Perform addition, subtraction, multiplication, and long division of polynomials. Apply factoring techniques to solve and simplify algebraic equations. Analyze rational expressions and discover techniques for partial fractions. Read and evaluate simple polynomial functions in practical contexts. The course begins with clear definitions and core rules, progressing into practical written examples and step-by-step exercises. Ideal for beginners and returning learners seeking a solid grasp of algebra without complex prerequisites. Start reading now to build your confidence in essential mathematics.