Solving & Factoring Quadratics

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What is a quadratic equation?

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What does it mean to factor a quadratic expression?

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What is the standard form of a quadratic equation?

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What is the quadratic formula?

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How do you determine the roots of a quadratic equation by factoring?

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To determine the roots by factoring, set the quadratic expression to zero, factor it into binomials, and then set each binomial equal to zero.

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What is the discriminant in a quadratic equation?

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What does a positive discriminant indicate?

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

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What does a zero discriminant indicate?

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

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What does a negative discriminant indicate?

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A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.

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