## Toppers Notes on The Quadratic Equation

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### Table of Content

• The discriminant of the quadratic equation.
• Roots of a quadratic equation.
• The nature of the roots of the quadratic equation.
• Graph of the quadratic expression.
• Greatest and the least value of a quadratic expression.
• Sign of the quadratic expression.
• Position of roots of a quadratic equation.
• Conditions for a quadratic equation have a repeated root.
• Condition for the two quadratic equations has a common root.
• Condition for a quadratic equation has both roots in common.
• Higher degree equations.
• Cubic equation.