Introduction to Partial Fractions
This page is a collection of videos and resources which you can use if you missed lessons or have forgotten the work completed in June/July on partial fractions and other algebraic methods for Core 4
Writing an algebraic fraction as the sum of its partial fractions is the inverse of simplifying a fraction addition, like the question below
The following videos will take you through the process of writing partial fractions. There are 4 different types to master
- Sum of two partial fractions
- Sum of three partial fractions
- Repeated roots
- 'Top heavy' fractions which require algebraic division
- Sum of two partial fractions
- Sum of three partial fractions
- Repeated roots
- 'Top heavy' fractions which require algebraic division
Sum of two partial fractions
Sum of three partial fractions
Repeated Roots
'Top heavy' fractions which require algebraic division
Each of the fractions below are known as improper (or 'top heavy') fractions because the degree of the numerator is greater than or equal to the degree of the denominator. The degree of an expression is the highest power of x in the expression (when all brackets have been fully expanded). The video below is a reminder of using the box method for algebraic division and then how to complete the partial fractions part of these questions