Partial Fractions

 

 

Contents

 

Partial Fractions

 

Distinct Linear Factors

 

Repeated Linear Factors

 

Quadratic Factors

 

Improper Fractions

 

Quiz

 

Algebra Main Page

Partial Fractions
 
  
 
What are partial fractions?
 
In algebraic manipulation, you've learnt how to combine fractions as follows:
Partial fractions is the expression of a single fraction as a finite sum of simpler fractions. 
In other words, in this section, you'll learn to express
as.
 
 
Proper and Improper Fractions
 
Given two polynomials f(x)and g(x),
 
is a fraction.
 
If the degree of f(x) is less than that of g(x),the fraction is proper.
If the degree of f(x) is greater than or equal to that of g(x), the fraction is improper.
 
 
Why learn partial fractions?

Partial fractions has no practical applications in the real world. In mathematics, it is useful in concepts like binomial expansion, integration and summation of series.
 
 
Go on and learn more about partial fractions.