Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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![**Determine the form of the partial fraction decomposition of the following rational expression.**
\[
\frac{7x^2 - 18x + 18}{(x - 6)(x + 2)^2}
\]
---
**Choose the correct answer below.**
A. \(\frac{A}{x - 6} + \frac{Bx + C}{x + 2}\)
B. \(\frac{A}{x - 6} + \frac{B}{(x + 2)^2}\)
C. \(\frac{A}{x - 6} + \frac{Bx + C}{x + 2} + \frac{Dx + E}{(x + 2)^2}\)
D. \(\frac{A}{x - 6} + \frac{B}{x + 2} + \frac{C}{(x + 2)^2}\)](https://content.bartleby.com/qna-images/question/c29afaca-2bcc-449e-b541-aa3eef827b4a/b9d977b0-f3e3-418f-9d22-1d7364decdc1/42awrly_processed.jpeg)
Transcribed Image Text:**Determine the form of the partial fraction decomposition of the following rational expression.**
\[
\frac{7x^2 - 18x + 18}{(x - 6)(x + 2)^2}
\]
---
**Choose the correct answer below.**
A. \(\frac{A}{x - 6} + \frac{Bx + C}{x + 2}\)
B. \(\frac{A}{x - 6} + \frac{B}{(x + 2)^2}\)
C. \(\frac{A}{x - 6} + \frac{Bx + C}{x + 2} + \frac{Dx + E}{(x + 2)^2}\)
D. \(\frac{A}{x - 6} + \frac{B}{x + 2} + \frac{C}{(x + 2)^2}\)
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