Polynomial Algebra and Partial Fraction Decomposition

Mastering polynomial algebra and rational functions is essential for success in calculus and advanced mathematical analysis. This course provides a thorough, structured breakdown of polynomial behavior, root-finding principles, and algebraic decomposition techniques. You will start by building a solid foundation in key terminology, polynomial operations, and degree properties. What you'll learn: Learn core polynomial definitions, coefficients, and degree rules. Apply Bezout's theorem and polynomial division to compute remainders and roots. Understand the Fundamental Theorem of Algebra and its implications for real and complex roots. Factor higher-degree polynomials into linear and irreducible quadratic components. Decompose rational fractions into partial fractions for calculus applications. Practice solving algebraic problems with step-by-step written explanations. The course content moves smoothly from core definitions and theoretical theorems to practical algebraic manipulation. Designed for beginners, high school or university students, and self-learners looking to strengthen their algebra skills, no advanced prior knowledge is required. Start reading today to build a confident mathematical foundation.