$\displaystyle \frac{8s^2-4s+12}{s^3+4s}$

Can someone give me a hint as to the best way to attack this one? I am not sure what to do with the top. Do I need to complete a square?

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- May 14th 2011, 08:05 PMCarbonHint for Inverse Laplace transform (SOLVED)
$\displaystyle \frac{8s^2-4s+12}{s^3+4s}$

Can someone give me a hint as to the best way to attack this one? I am not sure what to do with the top. Do I need to complete a square? - May 14th 2011, 08:09 PMTheEmptySet
- May 14th 2011, 08:24 PMCarbon
Thanks a lot.

I will use partial fractions. One think I'm rusty on is irreducible fractions. Is $\displaystyle s^2+4$ irreducible? How do I know if something is irreducible? - May 14th 2011, 08:30 PMTheEmptySet
A quadratic is irreducible if if its discriminant is negative.

$\displaystyle b^2-4ac=0-4(1)(4)=-16$