Question

Partial fraction decomposition when denominator is quadratic

Answer 1

Partial fraction decomposition is a technique used to write a rational function as the sum of simpler rational expressions. A partial fraction has irreducible quadratic factors when one of the denominator factors is a quadratic with irrational or complex roots: 1x3+x⟹1x(x2+1)⟹1x−xx2+1

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