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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Solution Summary
The expert examines partial fraction sums. The simultaneous equation functions are determined.
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Please see attached file
f(x)=(3x^2+10x+9)/(2x^3+8x^2+10x+4)
Solution: f(x) =
= = =
=
=
=
We get:
3 = a + ...
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