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WEEK 3
TOPIC: PARTIAL FRACTIONS
CONTENT:
- Basic definitions
- Proper rational functions with linear factors (distinct and repeated)
Subtopic 1: Basic Definitions
You know what a fraction is. ¼ is a fraction. When we have 3/5 + 2/x, , we say that 3/5 and 2/x are the partial fractions of
Let p(x) and q(x) be polynomials in a variable x. is called a rational fraction in q(x) ≠ 0.
When the degree of p(x) is less than the degree of q(x), then the rational function is called a proper rational function.
Any rational function can be expressed as the sum of a polynomial function and a proper rational function.
Note that the sum and difference of two rational functions is a rational function.
Example:
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