Clear denominators in the following partial fraction decomposition and determine the constant B. 3x2 + 21x + 12 1 B 3 (x + 8)(x + 2)² x + 8 (х + 2) (x + 2)²

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
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Clear denominators in the following partial fraction decomposition and determine the constant B.
3x2 + 21x + 12
1
В
3
(x + 8)(x + 2)²
x + 8
(х + 2)
(х + 2)?
(Give your answer as a whole or exact number.)
B =
Transcribed Image Text:Clear denominators in the following partial fraction decomposition and determine the constant B. 3x2 + 21x + 12 1 В 3 (x + 8)(x + 2)² x + 8 (х + 2) (х + 2)? (Give your answer as a whole or exact number.) B =
Expert Solution
Step 1 : Analysis

Given :

3x2+21x+12x+8x+22 = 1x+8- Bx+2-3x+22

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