CIE A Level Maths: Pure 3复习笔记1.3.3 Quadratic Denominators

What is meant by partial fractions with quadratic denominators?

How do I find partial fractions involving quadratic denominators?

•  STEP 1          Factorise the denominator as far as possible (if not already done so)

• • Sometimes the numerator can be factorised too
• STEP 2          Split the fraction into a sum with
  • the linear denominator having an (unknown) constant numerator
  • the quadratic denominator having an (unknown) linear numerator
• STEP 3          Multiply through by the denominator to eliminate fractions