Definition:
Partial fractions are used to simplify a complex fraction into two or more fractions. This is so that there will be less confusion when dealing with algebraic fractions.
Proper Rational Expression:
The degree of the top is less than the degree of the bottom
Improper Expression:
The degree of the top is greater than, or equal to the degree of the bottom.
Use polynomial long division first. The remainder will be the proper fraction, use the proper fraction to solve the question.
Workings:
Different cases will result in different partial fraction forms:
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