Foundations of Math 3 Unit 3 Exam Review

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Describe the end behavior of the graph of a polynomial function where the leading coefficient is positive and the degree is even.

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What is synthetic division and how is it used?

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Synthetic division is a simplified form of polynomial division used to divide a polynomial by a linear factor. It provides a quick way to find the quotient and remainder.

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Use synthetic division to solve: (2x^3 - 5x^2 + 3x + 7) ÷ (x - 2). What is the result?

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What is the definition of a polynomial function?

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What is the leading coefficient of a polynomial and why is it important?

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The leading coefficient is the coefficient of the term with the highest degree. It determines the end behavior of the polynomial function.

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

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A polynomial is factored completely when it is expressed as a product of irreducible polynomials over the given number system.

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What is the Remainder Theorem?

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