Factoring Quadratics

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(x + 8)(x + 3)

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(x + 8)(x - 3)

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(x + 4)(x - 1)

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(y - 10)(y + 2)

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What is the first step in factoring a quadratic equation?

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Identify two numbers that multiply to the constant term and add to the coefficient of the linear term.

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Define a quadratic equation.

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What is the standard form of a quadratic equation?

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What does it mean to factor a quadratic expression?

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To express it as a product of two binomials.

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What is the relationship between the roots of a quadratic equation and its factors?

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What is the significance of the discriminant in a quadratic equation?

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It determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.