Partial Fractions with Improper Rational Function

Resolve into partial fractions: $\frac{2 x ^{3} + x ^{2} - x - 3}{x ( x - 1 ) ( 2 x + 3 )}$

~10 minAnswer checked instantlypartial fractionspolynomial division

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXIII. Partial Fractions, Examples XXIII, No. 5

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).