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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

© BrainMass Inc. brainmass.com September 25, 2018, 9:31 am ad1c9bdddf - 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.

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