SOLUTION: Please help with this. Write the form of the partial fraction decomposition of the rational expression. rational expression and solutions: https://s3.postimg.org/3o3l1chvn/ration

Algebra ->  Finance -> SOLUTION: Please help with this. Write the form of the partial fraction decomposition of the rational expression. rational expression and solutions: https://s3.postimg.org/3o3l1chvn/ration      Log On


   

Question 1077729: Please help with this.
Write the form of the partial fraction decomposition of the rational expression.
rational expression and solutions: https://s3.postimg.org/3o3l1chvn/rational_expression.png
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A%2Fx%2BB%2F%28x-1%29%2BC%2F%28x-1%29%5E2=%28x%5E2-x%2B2%29%2F%28x%28x-1%29%5E2%29

A%28x-1%29%5E2%2BBx%28x-1%29%2BC%2Ax=x%5E2-x%2B2

A%28x%5E2-2x%2B1%29%2BBx%5E2-Bx%2BCx=x%5E2-x%2B2

Ax%5E2-2Ax%2BA%2BBx%5E2-Bx%2BCx=x%5E2-x%2B2

%28A%2BB%29x%5E2%2B%28-2A-B%2BC%29x%2BA=x%5E2-x%2B2

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system%28A%2BB=1%2CC-2A-B=-1%2CA=2%29
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system%28B=1-2%2CC-2%2A2-B=-1%29
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highlight%28B=-1%29, highlight%28A=2%29

C-4-B=-1
C-4-%28-1%29=-1
CC-4%2B1=-1
C=-1%2B3
highlight%28C=2%29


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CHOICE B.
2%2Fx%2B%28-1%29%2F%28x-1%29%2B2%2F%28x-1%29%5E2