Fall Exam Review #1 2024

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5

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-14\sqrt{2}

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Factor completely: 3x^2 - 9x - 120

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3(x - 8)(x + 5)

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3i\sqrt{2}

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What is the definition of a rational expression?

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A rational expression is a fraction where the numerator and the denominator are polynomials.

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What is the process of simplifying a square root?

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To simplify a square root, factor the number under the root into its prime factors and simplify.

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What does it mean to factor a polynomial completely?

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Factoring a polynomial completely means expressing it as a product of its irreducible factors.

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What is the quadratic formula?

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What is the difference between rational and irrational numbers?

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Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot.

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What is the definition of an imaginary number?

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