College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.3 - Partial Fractions - 5.3 Exercises - Page 461: 1

Answer

(iii) is correct.

Work Step by Step

we have $r(x)=\dfrac{4}{x(x-2)^2}$ This shows a one single root and one repeated root. Applying the partial fraction decomposition rule. Therefore, $\dfrac{4}{x(x-2)^2}=\dfrac{A}{x}+\dfrac{B}{x-2}+\dfrac{C}{(x-2)^2}$ Hence, option (iii) is correct.
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