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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 x3x2x2\frac{x^{3}}{x^{2}-x-2} what is the first step of this solution?


A) x3x2x2=Ax2+Bx+1\frac{x^{3}}{x^{2}-x-2}=\frac{A}{x-2}+\frac{B}{x+1}
B) x3x2x2=Ax+Bx2+Cx+1\frac{x^{3}}{x^{2}-x-2}=\frac{A x+B}{x-2}+\frac{C}{x+1}
C) x3x2x2=x+1+3x+2x2x2\frac{x^{3}}{x^{2}-x-2}=x+1+\frac{3 x+2}{x^{2}-x-2}
D) x3x2x2=x+3x+2x2x2\frac{x^{3}}{x^{2}-x-2}=x+\frac{3 x+2}{x^{2}-x-2}
E) x3x2x2=1+3x+2x2x2\frac{x^{3}}{x^{2}-x-2}=1+\frac{3 x+2}{x^{2}-x-2}

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