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prereview2 - Precalc Review Problems for Second Exam This...

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Unformatted text preview: Precalc Review Problems for Second Exam This practice exam is longer than the actual exam will bethe actual exam will consist of roughly 100 points of similar problems to those listed below. Please leave all answers in ex- act forminvolving e , ln, log, etc. No calculators are necessary or will be allowed on the exam. 1. (15 points) Sketch the graph of the polynomial function. Mark all intercepts. (a) P ( x ) = (2 x- 1)( x + 1)( x + 3) (b) P ( x ) = x 6- 2 x 3 + 1 2. (10 points) Find the quotient and remainder using synthetic division x 4- x 3 + x 2- x + 2 x- 2 3. (10 points) Find the quotiend and remainder using long division 3 x 4- 5 x 3- 20 x- 5 x 2 + x + 3 4. (10 points) Find a polynomial of degree 4 with integer coefficients and zeros 1, -1, 2, and 1 2 . 5. (10 points) Find all rational zeros of the polynomial P ( x ) = x 3 + 3 x 2- 4. 6. (15 points) Perform the complex arithmetic (a) (2 + 5 i ) + (4- 6 i ) (b) i 1003 (c) 1 1- i- 1 1 + i 7. (10 points) Find all solutions of the quadratic equation 2...
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This note was uploaded on 10/18/2011 for the course W 1003 taught by Professor Staff during the Spring '11 term at Columbia.

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prereview2 - Precalc Review Problems for Second Exam This...

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