Using Factoring to Divide Quadratics by Linear Expressions

Miacademy & MiaPrep Learning Channel

This instructional video guides students through the process of dividing quadratic expressions by linear expressions using various factoring techniques. Hosted by Randy from MiaPrep, the tutorial demonstrates how to simplify rational expressions by factoring the numerator and canceling out common factors found in the denominator. The video emphasizes active learning by encouraging students to pause and attempt problems independently before watching the solution. The content specifically focuses on three distinct factoring strategies: Greatest Common Factor (GCF), the Sum-Product pattern for trinomials, and the Difference of Squares. Through three step-by-step examples, the video illustrates how to identify the structure of the numerator, select the appropriate factoring method, and perform the algebraic simplification to find the final quotient. For educators, this video serves as an excellent resource for Algebra 1 or Algebra 2 classrooms. It connects previous knowledge of polynomial factoring to rational expressions, reinforcing why factoring skills are essential for simplification. The clear, handwritten visual style helps students follow the algebraic logic line-by-line, making it ideal for introducing the concept of simplifying rational expressions or for reviewing specific factoring applications.