Partial fraction decomposition
Intros
Lessons
Examples
Lessons
- Case 1: Denominator is a product of linear factors with no repeats
Find the partial fractions of:
- Case 2: Denominator is a product of linear factors with repeats
Find the partial fractions of :
- Case 3: Denominator contains irreducible quadratic factors with no repeats
Find the partial fractions of :
x3−8x2x2+5x+8
- Case 4: Denominator contains irreducible quadratic factors with repeats
Find the partial fractions of:
x(x2+1)23x4+x3+1
- First perform long division, then partial fraction decomposition
Find the partial fractions of:
Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun — with achievements, customizable avatars, and awards to keep you motivated.
Easily See Your Progress
We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.Make Use of Our Learning Aids
Earn Achievements as You Learn
Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.Create and Customize Your Avatar
Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
Topic Notes
∙ Partial fraction decomposition expresses a rational function g(x)f(x), where f(x) and g(x) are polynomials in x, as a sum of simpler fractions.
∙Partial fraction decomposition only applies to proper fractions in which the degree of the numerator is less than that of the denominator.
Related Concepts
2
videos
remaining today
remaining today
5
practice questions
remaining today
remaining today