


Quadratic PolynomialsThe Quadratic FormulaThe method of completing the square can be applied to any quadratic polynomial. You simply rewrite ax^{2}+bx+c = a(x^{2}+x)+c From it we can obtain the following result: The roots of ax^{2}+bx+c are given by (Quadratic Formula) The quantity b^{2}−4ac is called the discriminant of the polynomial.
ExampleStudy some of these examples:
ExampleExerciseNow try some of these exercises: Parabola VertexNote that if the roots of a quadratic equation ax^{2}+bx+c are real and distinct, then the vertex of the parabola given by the polynomial is situated where
ExampleStudy a few of these examples: ExerciseNow try some of these exercises. Give your answers rounded to 2 decimal places: If the roots of a quadratic equation ax^{2}+bx+c are α and β, then we can write ax^{2}+bx+c = a(x−α)(x−β)
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