The Method of Partial Fractions


Answer:

eqnarray310

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

displaymath627

write instead:

displaymath628

Consider the example

displaymath629

"Complete the square'' in the irreducible term and write tex2html_wrap_inline641 , then use the setup described above:

displaymath630

The method then proceeds analogously. Multiply both sides by the common denominator

displaymath631

simplify and solve the resulting system of linear equations to obtain A=1, B=2 and C=-3:

displaymath632

The coefficients you obtain are not the same as when you use the standard setup!


Try it yourself!

tex2html_wrap_inline651


Helmut Knaust
Fri Jul 5 13:54:22 MDT 1996

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