Polynomials Course
Master polynomials with rigorous tools for roots, factorization, graphing, and modeling. This Polynomials Course builds strong algebraic intuition for real-world applications in physics, engineering, finance, and advanced mathematics.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This concise Polynomials Course builds confident skills with definitions, degrees, and roots, then moves quickly into practical factorization, the Rational Root Theorem, and efficient root-finding strategies. You will construct polynomials from given conditions, sketch accurate graphs by hand, and apply quadratic and cubic models to realistic scenarios, ensuring clear interpretation, validation, and communication of results.
Elevify advantages
Develop skills
- Master polynomial operations: add, subtract, multiply, and divide with confidence.
- Apply Rational Root Theorem and synthetic division to factor and find roots fast.
- Build polynomials from given roots and multiplicities with precise coefficients.
- Sketch accurate polynomial graphs using roots, multiplicities, and end behavior.
- Model real-world problems with quadratic and cubic polynomials and justify results.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
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