How to Form Quadratic & Cubic Equations with Complex Roots | IB & A-Level Math Tutorial [KS#2]

**🎥 How to Form Quadratic and Cubic Equations with Complex Roots**

In this video, we dive into **how to form and solve quadratic and cubic equations from complex roots**, a crucial skill for students tackling advanced mathematics in **IB and A-Level Maths**.

💡 **Here’s what you’ll learn:**
- 🧮 How to form a quadratic equation when given the complex roots are given.
- 📖 A step-by-step worked example of **solving a quadratic equation** and **finding two complex roots**.
- ✍️ Using **Vieta’s formulas** to form a quadratic equation through the **sum and product of roots**.
- 🔗 Applying the **factor and remainder theorem** to form and solve a quadratic equation.
- 🔄 Forming a quadratic equation from a **single complex root** by identifying its conjugate.
- 🌟 Extending the concept to cubic equations by **forming and solving** for two complex roots and one real root.

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### **Check out more videos in this series**

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### **Want to learn more about complex numbers?**

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### **Time Codes**
00:00 **Intro**
00:07 **How to find a quadratic equation when given complex roots**
01:07 **Using Vieta’s formulas: Sum and product of roots to form the quadratic equation**
02:56 **Applying the factor and remainder theorem to form and solve a quadratic equation**
03:55 **Forming a quadratic equation from a single complex root by finding its conjugate**
05:30 **Forming and solving a cubic equation with two complex roots and one real root**
08:34 **Preview of the next video**

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### **Hashtags**
#QuadraticEquations #ComplexRoots #CubicEquations #PolynomialEquations #MathTutorials #MathHelp #MathEducation #IBMaths #ALevelMaths #ImaginaryNumbers #ComplexNumbers #AdvancedMaths #RootsAndEquations #VietasFormulas #FactorTheorem

Let me know if this works for you! 😊