- Discriminant of Quadratic Expression
- Problem 1: Discriminant of Quadratic Expression
- Finding Discriminant of Quadratic Equation
- Problem 1: Finding Discriminant of Quadratic Equation
- Nature of the Roots of a Quadratic Equation
- Problem 1: Nature of the Roots of a Quadratic Equation
- Verification of Nature of Roots of Equation
- Finding s when Nature of Roots is given
- Problem 1: Finding s when Nature of Roots is given

- The Cube Roots of Unity
- Problem 1: The Cube Roots of Unity
- Recognise Complex Cube Roots of Unity
- Properties of Cube Roots of Unity
- Problem 1: Properties of Cube Roots of Unity
- Problems on Cube Roots of Unity
- Problem 1: Problems on Cube Roots of Unity

- Roots & Coefficients of Quadratic Equation
- Problem 1: Roots & Coefficients of Quadratic Equation
- Finding Sum of Roots from Their Product
- Problem 1: Finding Sum of Roots from Their Product
- Finding Sum of Roots from Their Square
- Problem 1: Finding Sum of Roots from Their Square
- Two Roots Differ by a Given Number
- Roots Satisfy a Given Relation
- Sum & Product of Roots Equal to a Number.

- Symmetric Functions of Roots Equation
- Problem 1: Symmetric Functions of Roots Equation
- More on Symmetric Functions of Roots Equation

- Find a Quadratic Equation from Given Roots
- Form Quadratic Equations Whose Roots are Given
- Problem 1: Form Quadratic Equations Whose Roots are Given

- Synthetic Division Method
- Finding Quotient & Remainder
- Problem 1: Finding Quotient & Remainder
- Finding s when Zeros of a Polynomial are Given
- Finding s when Factors of a Polynomial are Given
- Solve a Cube Equation, If a Root of Equation is Given
- Problem 1: Solve a Cube Equation, If a Root of Equation is Given
- Solving Quartic Equation, If Roots are Given
- Problem 1: Solving Quartic Equation, If Roots are Given