When using the method of partial fractions how do you choose what type of numerator to use and how do you know how many partial fractions there are?

There are as many fractions as there are factors of the denomenator.  If the denomenator of one of the partial fractions is linear then the numerator is a constant. If the denomenator is a linear term squared then the numerator is once again a constant. However, if the denomenator is a quadratic term then the numerator will be linear.

CM

Related Further Mathematics A Level answers

All answers ▸

Split x^4/[(x^2+4)*(x-2)^2] into partial fractions and hence differentiate it


A particle is moving in a straight line with simple harmonic motion. The period of the motion is (3pi/5)seconds and the amplitude is 0.4metres. Calculate the maximum speed of the particle.


You have three keys in your pocket which you extract in a random way to unlock a lock. Assume that exactly one key opens the door when you pick it out of your pocket. Find the expectation value of the number of times you need to pick out a key to unlock.


MEI (OCR) M4 June 2006 Q3