Hello! Quick question reagrding partial fractions. When there is a factor such as (x+2)3 in the denominator, then the fraction is separated into the components (x+2)1+...+(x+2)3. I am not convinced I understand quite why this is so. Partial fractions guides all offer something on the theme of: "Here's a hint..." but it doens't help an awful lot. When decomposing into partial fractions, will one always arrive at a set of fractions with the numerators consisting of powers one degree less than in the denominator? Which seems to be what it hints at when the farctions are separated as above. Many thanks.