Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 9 - 9.4 - Partial Fractions - 9.4 Exercises - Page 668: 15

Answer

$\frac{A}{x} + \frac{B}{x^{2}}+ \frac{Cx + D}{x^{2}+3} + \frac{Ex+F}{(x^{2}+3)^{2}}$

Work Step by Step

We must have a linear numerator for each power, and there must be a partial fraction for each power of $(x^{2} + 3)$ and x: $\frac{A}{x} + \frac{B}{x^{2}}+ \frac{Cx + D}{x^{2}+3} + \frac{Ex+F}{(x^{2}+3)^{2}}$
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