Quadratic Equations

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What does the discriminant ($b^2 - 4ac$) indicate?

The discriminant indicates the nature of the roots: positive for two real roots, zero for one real root, and negative for no real roots.

How can you solve a quadratic equation by factorization?

Set the equation to zero, factor it into two binomials, and apply the zero product property.

What is the axis of symmetry for a quadratic equation?

The axis of symmetry is given by the line $x = -\frac{b}{2a}$.

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