(1) Observe that :

On the other hand, cannot be factored further. (Its zeros are imaginary.)

Now all denominator factors are either linear or irreducible quadratic.


(2) Write the partial fractions general form equation:


(3) Notice a few things:

  • Quadratic acquires linear term on top
  • Linear is to 3rd power so it has repetition up to 3rd power
  • Linear and are only to 1st power.