Algebra 2 Midterm Review

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(x-5)(x-8)

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2(x+5)(x+6)

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The vertex is (-2, -4) and opens upwards.

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{-8, 4}

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What is the quadratic formula?

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What does it mean for a quadratic to be factored completely?

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It means expressing the quadratic as a product of linear factors.

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How do you find the roots of a quadratic equation?

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Set the equation to zero and solve for x using factoring, completing the square, or the quadratic formula.

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What is the discriminant in a quadratic equation?

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What are the possible values of the discriminant?

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If > 0: 2 real roots; = 0: 1 real root; < 0: no real roots.