SOLUTION: write the partial fraction decomompasitionof the rational function (2x+3)/x^2+3x+2?

Question 382940: write the partial fraction decomompasitionof the rational function (2x+3)/x^2+3x+2?
Found 2 solutions by Fombitz, nyc_function:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Subtract eq. 1 from eq. 2,

Then from eq. 1,

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Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
The function can be rewritten:
(2x + 3)/(x + 1)(x + 2); denominator has non repeating linear factors.
(2x + 3)/(x + 1)(x + 2) = A/(x + 1) + B/(x + 2)........multiply by (x + 1)(x + 2)
2x + 3 = A(x + 2) + B(x + 1) = (A + B)x + 2A + B
So A + B = 2 and 2A + B = 3==========> A = 1 and B = 1

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