Polynomials, Cubic Equations and Partial Fractions - Partial Fractions
Polynomials, Cubic Equations and Partial Fractions - Partial Fractions
TGM Original Questions
Express \(\frac{1 - 2x + x^2}{(x^2 - 4)(2x + 3)}\) in partial fractions.
Hence find the derivative of \(\frac{1 - 2x + x^2}{(x^2 - 4)(2x + 3)}\).
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Answer:\(\dfrac{9}{4(x+2)}+\dfrac{1}{28(x-2)}-\dfrac{25}{7(2x+3)};\quad -\dfrac{9}{4(x+2)^2}-\dfrac{1}{28(x-2)^2}+\dfrac{50}{7(2x+3)^2}\)
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