Partial fraction decomposition - Rational Equations and Expressions
Partial fraction decomposition
Related Concepts
- Integration of rational functions by partial fractions
Lessons
Notes:
Partial fraction decomposition expresses a rational function , where and are polynomials in , 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.
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a)
What is partial fraction decomposition?
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b)
When can we perform partial fraction decomposition?
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1.
Case 1: Denominator is a product of linear factors with no repeats
Find the partial fractions of:
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2.
Case 2: Denominator is a product of linear factors with repeats
Find the partial fractions of :
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5.
First perform long division, then partial fraction decomposition
Find the partial fractions of:
