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21 July, 15:47

What is the of A in a partial fraction decomposition below?

8x+28 / (x-1) (x+2) (x+3) = A/x-1 + B/x+2 + C/x+3

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  1. 21 July, 15:53
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    Step-by-step explanation:

    (8x + 28) / ((x - 1) (x + 2) (x + 3)) = A / (x - 1) + B / (x + 2) + C / (x + 3)

    Multiply both sides by (x - 1) (x + 2) (x + 3).

    8x + 28 = A (x + 2) (x + 3) + B (x - 1) (x + 3) + C (x - 1) (x + 2)

    If x = 1:

    8 + 28 = A (3) (4)

    36 = 12A

    A = 3
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