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    Partial Fraction Sums

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    Express f(x) as the sum of partial fractions.

    f(x)=(3x^2+10x+9)/(2x^3+8x^2+10x+4)

    This is what I've done so far.

    f(x)= (3x^2+10x+9)/(2x^3+8x^2+10x+4)

    = (3x^2+10x+9)/((x+2)(2x+2)(x+1))

    = (3x^2+10x+9)= a/(x+2)+b/(2x+2)+c/(x+1)

    Giving the simultaneous equations:

    3=2a+b+2c
    10=4a+3b+6c
    9=2a+2b+4c

    If this is right so far could you show how the simultaneous equations are solved. If its not right where have I made the mistake?

    Mick

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    https://brainmass.com/math/consumer-mathematics/partial-fraction-sums-23222

    Solution Preview

    Please see attached file

    f(x)=(3x^2+10x+9)/(2x^3+8x^2+10x+4)

    Solution: f(x) =
    = = =
    =
    =
    =
    We get:
    3 = a + ...

    Solution Summary

    The expert examines partial fraction sums. The simultaneous equation functions are determined.

    $2.19