Write the Form of the Partial Fraction Decomposition of the Rational

question 41

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. Do not find the numerical values of the constants. $\frac{x^{2}-x-8}{2 x^{3}-3 x^{2}+4 x-6}$

• A) \(\frac{A}{2 x-3}+\frac{B x+C}{x^{2}+2}\)
• B) \(\frac{A}{2 x-1}+\frac{B x+C}{x^{2}+2}\)
• C) \(\frac{A}{2 x+1}+\frac{B x+C}{x^{2}-2}\)
• D) \(\frac{A}{2 x+3}+\frac{B x+C}{x^{2}-2}\)

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