4x + 5 Perform partial fraction decomposition on the rational function: (x+ 2)²"

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 5SC
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4x +5
Perform partial fraction decomposition
on the rational function:
(x + 2)² °
Transcribed Image Text:4x +5 Perform partial fraction decomposition on the rational function: (x + 2)² °
Expert Solution
Step 1

             Here f(x)=4x+5(x+2)2we have to find the partial fraction of f(x)4x+5(x+2)2=C(x+2)+D(x+2)2   ...(1)4x+5(x+2)2=C (x+2)(x+2)2+D(x+2)24x+5(x+2)2=C (x+2) +D(x+2)24x+5=C (x+2) +D4x+5=Cx+(2C+D)compairing coefficients on both sides, we get 

 

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