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MATH D R2

MATH D R2 - MathD/ReviewforTest#2 ErikaNoffsinger/Fall2009...

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Math D / Review for Test # 2 Erika Noffsinger / Fall 2009 1. Given x 3 y 2 – 5x 2 y 7 + 6y 2 – 3 answer the following questions: a) Determine the coefficient of each term and the degree of each term. Term Coefficient Degree b) What is the degree of the polynomial? 2. Given f(x) = – x 3 – x 2 + 5x – 3 a) Determine the coefficient of each term and the degree of each term. Term Coefficient Degree b) What is the degree of the polynomial? c) What are the end behaviors of the graph of f(x)? As x then y _____________ As x → ∞ then y ______________ d) Find f(4) 3. Perform the following operation and simplify as far as possible: (3x 4 y 2 + 5x 3 y – 3y) – (2x 4 y 2 – 3x 3 y – 4y + 6x) 4. Add 6x 4 – 5x 3 + 2x to the difference between 4x 3 + 3x 2 – 1 and x 4 – 2x 2 + 7x – 3

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5. Let f(x) = 3x 3 – 2x 2 – x + 4, g(x) = x 3 – x 2 – 5x – 4 and h(x) = – 2x 3 + 5x 2 – 4x + 1. Answer the following questions: a) Find (g – h)(x). b) Find (g – h)( 1) c) Find 2f(x) – 3h(x) 6. (x + y + 1) 2 7. (5x n – y n )(x n + 4y n ) 8. Let f(x) = 4x 2 + 5x – 1, find f(a + h) – f(a).
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MATH D R2 - MathD/ReviewforTest#2 ErikaNoffsinger/Fall2009...

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