🔤 Roots of a quadratic equation
Quadratic formula and discriminant analysis
Nature and properties of quadratic roots
Difficulty rating: ⭐
Roots of Polynomials - (A-Level, IB, AP)
Master polynomial roots with comprehensive guides, examples, and exam practice
Roots of Polynomials is a key topic in Further mathematics. Its quite algebra heavy, so ensure youre prepped before this with basic algebra skills such as solving equations, using formulae and learning about the discriminant.
Choose a section below to start your learning journey with this topic.
(minor disclaimer: The difficulty rating is subjective and may not reflect your own experience. It is based on personal perspective.)
Difficulty rating: ⭐⭐⭐ out of 5 stars
⚡ Roots of a cubic equation
Cubic formula and factorization methods
Finding real and complex cubic roots
Difficulty rating: ⭐⭐⭐
🔢 Roots of a quartic equation
Advanced methods for quartic equations
Mastery of Vietas formula
Difficulty rating: ⭐⭐⭐
📐 Expressions relating to the roots of a polynomial
Vieta's formulas and symmetric functions
Sum and product relationships
Difficulty rating: ⭐⭐⭐
🔄 Linear transformations of polynomial roots
Transforming polynomials and their roots
Scaling, shifting, and reflection properties
Difficulty rating: ⭐⭐⭐
📖 Revision / Exam Questions - COMING SOON
Practice with questions and key points
Key formulas, important points, last-minute revision
Difficulty rating: ⭐⭐⭐⭐