Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Find the partial fraction decomposition.**
\[
\frac{2x + 2}{x^2 + 12x + 35} = \frac{-4}{x + 5} + \frac{6}{x + 7}
\]
### Explanation:
The given equation is a rational expression that is decomposed into partial fractions. The original fraction \(\frac{2x + 2}{x^2 + 12x + 35}\) is expressed as the sum of two simpler fractions, \(\frac{-4}{x + 5}\) and \(\frac{6}{x + 7}\).
### Interaction:
There are two icons shown: a reset icon and a submit or check icon, likely used for confirming the solution or restarting the process.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a846e33-3ca3-4fba-869d-7a6873f4d9c4%2F6ea3e37f-b4eb-4826-bbdc-04f59f01106e%2Fm93cqa_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the partial fraction decomposition.**
\[
\frac{2x + 2}{x^2 + 12x + 35} = \frac{-4}{x + 5} + \frac{6}{x + 7}
\]
### Explanation:
The given equation is a rational expression that is decomposed into partial fractions. The original fraction \(\frac{2x + 2}{x^2 + 12x + 35}\) is expressed as the sum of two simpler fractions, \(\frac{-4}{x + 5}\) and \(\frac{6}{x + 7}\).
### Interaction:
There are two icons shown: a reset icon and a submit or check icon, likely used for confirming the solution or restarting the process.
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