Hi,
For Q10 & Q11, the rational expression is improper.
You need to use long division or algebraic manipulation before
finding partial fractions.
By algebraic manipulation, the numerator in Q10 may be
written as (x^2 - 4) + 3x + 4.
In addition, note the following pointers:
1. Can the denominator be factorised? For
example, x^2 - 1 = (x - 1)(x + 1).
2. Recall the three decomposition rules which can be
found in the formulae booklet, which will accompany you for all
tests and examinations:
(i) linear factors,
(ii) repeated linear factors,
(iii) quadratic non-factorisable factors (e.g. x^2 +
1).
3. Use of the cover-up method to find constants, or
comparing coefficients of x, x^2, etc.
Thanks!
Cheers,
Wen Shih
