Polynomials and Factorization: Foundational Algebra

Algebra is the language of modern science, and polynomials are its core building blocks. Do you struggle to simplify complex expressions or find the roots of equations? This course provides a clear, step-by-step introduction to working with polynomials and mastering critical factorization techniques. By the end, you will be proficient in algebraic manipulation, laying a strong foundation for calculus, physics, and computational thinking. What you'll learn: * Understand the terminology and structure of polynomials, including degree, coefficients, and standard form. * Practice performing addition, subtraction, and multiplication of polynomials, including special product formulas. * Master various factorization techniques such as GCF, grouping, trinomial factoring, and factoring difference of squares. * Apply polynomial division methods, including synthetic division, to simplify rational expressions and test for factors. * Learn to connect polynomial expressions with function notation and identify the relationship between factors and the roots (zeros) of an equation. We begin with fundamental definitions and algebraic laws, then move through essential operations and specialized factorization methods. The content is supported by numerous written examples and practice exercises designed for immediate application. This course is designed for absolute beginners and students seeking a thorough review of foundational algebra concepts. No prior algebraic knowledge is required. Start building your algebraic fluency today.