When Writing the Solution to the Partial Fraction Decomposition Of \frac{x^{3}}{x^{2}-x-2}

question 49

Multiple Choice

When writing the solution to the partial fraction decomposition of $\frac{x^{3}}{x^{2}-x-2}$ what is the first step of this solution?

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

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