Differential Equations and Linear Algebra (4th Edition)
Differential Equations and Linear Algebra (4th Edition)
4th Edition
ISBN: 9780321964670
Author: Stephen W. Goode, Scott A. Annin
Publisher: PEARSON
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Chapter B, Problem 8P
To determine

The partial fraction decomposition of the given rational function.

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B B1. If (x-1) (x+1)² (x-1) ' (x+1) ' (x+1)* C using partial fractions, then find the value of 24-2B+2C.
4. Given a rational function: r(x) = 3x2-2x+4 x3-2x–4x+8 Factor the denominator completely. Make sure you justify your answer by showing all the steps. a. Use part (a) to write the form of the partial fraction decomposition for r(x). Make sure you justify your answer by showing all the steps. b. Page 1 of 2 Simplify part (b) to set up a system of linear equations to find the coefficients of the partial fraction decomposition. Make sure you justify your answer by showing all the steps. C.
Problem 1. (A)  Let P(x) = 6x3 + 3x2 − x + 3. Use synthetic division to find the value. P(−2) P(−2) =     (B).  Let P(x) = 4x4 − x2 + 4. Use synthetic division to find the value. P (1/3) P(1/3)   (C) A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.) x3 + 11x2 + 15x − 27 = 0; {1}
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