Algebra 1 - The Discriminant

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What is the discriminant in a quadratic equation?

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What does a positive discriminant indicate about the roots of a quadratic equation?

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A positive discriminant indicates that the quadratic equation has 2 distinct real roots.

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What does a negative discriminant indicate about the roots of a quadratic equation?

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A negative discriminant indicates that the quadratic equation has 2 complex (imaginary) roots.

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What does a zero discriminant indicate about the roots of a quadratic equation?

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A zero discriminant indicates that the quadratic equation has exactly 1 real root (a repeated root).

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What is the significance of the discriminant in relation to the solutions of a quadratic equation?

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The discriminant helps determine the number and type of solutions (roots) of the quadratic equation.

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What is the formula for the discriminant?

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If the discriminant is 0, what can be said about the graph of the quadratic function?

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If the discriminant is 0, the graph of the quadratic function touches the x-axis at one point (the vertex) and does not cross it.

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