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Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

TGM Original Questions

Express the following in partial fractions:

  1. \(\frac{5x+2}{\left( x-4 \right)\left( x+3 \right)}\)
  2. \(\frac{3x-2}{\left( 2x+1 \right)\left( x-3 \right)}\)
  3. \(\frac{x+4}{{{x}^{2}}-9}\)

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Answer:(a) \(\frac{22}{7(x-4)}+\frac{13}{7(x+3)}\). (b) \(\frac1{2x+1}+\frac1{x-3}\). (c) \(\frac7{6(x-3)}-\frac1{6(x+3)}\).

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