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
Answered by Charlie M. • Further Mathematics tutor
3690 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Solve the inequality x/(x+2) ≤ 4/(x-3) for x ≠ -2 or 3
It is given that f(x)=(x^2 +9x)/((x-1)(x^2 +9)). (i) Express f(x) in partial fractions. (ii) Hence find the integral of f(x) with respect to x.
Unfortunately this box is to small to contain the question so please see the first paragraph of the answer box for the question.
Solve the inequality x^3 + x^2 > 6x