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Partial Fraction for Distinct Linear Factors
If:
$$Q(x)=\prod_{i=1}^n(x-a_i)$$
with distinct roots, then:
$$\frac{P(x)}{Q(x)}=\sum_{i=1}^n\frac{A_i}{x-a_i}$$
Usage
- Used to decompose proper rational functions with distinct linear factors.
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Partial Fraction for Distinct Linear Factors
If:
$$Q(x)=\prod_{i=1}^n(x-a_i)$$
with distinct roots, then:
$$\frac{P(x)}{Q(x)}=\sum_{i=1}^n\frac{A_i}{x-a_i}$$
Usage
- Used to decompose proper rational functions with distinct linear factors.
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