Foundations of Algebra: Monomials and Polynomials

Algebra is the cornerstone of modern mathematics, yet many learners struggle with its fundamental building blocks: monomials and polynomials. This text-only course guides you step-by-step from core definitions to advanced algebraic operations, helping you build a rock-solid foundation for calculus, computer science, and data analysis. In this course, you will: Learn the core terminology and definitions of variables, coefficients, exponents, and degrees; Perform arithmetic operations including addition, subtraction, multiplication, and division on monomials and polynomials; Apply key factoring techniques such as grouping, taking out common factors, and using special product formulas; Solve polynomial equations and simplify rational expressions with confidence; Explore modern applications of polynomials in basic algorithms and data science models. You will start with basic algebraic definitions before moving on to step-by-step operations, factoring strategies, and practical written exercises designed to reinforce your understanding. This course is designed for absolute beginners, students looking to refresh their math skills, or aspiring programmers needing a solid mathematical foundation. No prior algebra knowledge is required. Begin your journey into algebra today and master the rules of polynomials.