The Method of Partial Fractions
You might want to visit the polynomial division module, if you have trouble performing the division.
(2) For some applications, it is preferable to proceed slightly different in the setup: Instead of writing an irreducible quadratic term in the form
write instead:
Consider the example
"Complete the square'' in the irreducible term and write
, then use the setup described above:
The method then proceeds analogously. Multiply both sides by the common denominator
simplify and solve the resulting system of linear equations to obtain A=1, B=2 and C=-3:
The coefficients you obtain are not the same as when you use the standard setup!