Pure 2 Chapter 1 - Partial Fractions

Question 1

when the denominator is a product of linear terms

Answer 1

e.g. (6x-2)/(x-3)(x+1) = A/(x-3) + B/(x+1)

Question 2

when the denominator is repeated

Answer 2

e.g. (11x^2+14x+5)/(x+1)^2(2x+1) = A/(x+1)+B/(x+1)^2+C/(2x+1)

Question 3

top heavy fractions

Answer 3

e.g. (3x^2-3x-2)/(x-1)(x-2) = A + B/(x-1) + C/(x-2)