Factoring Quadratics

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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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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 quadratic formula used for?

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To find the roots of a quadratic equation when factoring is difficult.

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

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How do you determine the signs of the factors when factoring a quadratic?

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The signs depend on the signs of the constant term and the linear coefficient.

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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: real and distinct, real and repeated, or complex.

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(x - 3)(x + 3)