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Find the Partial Fractions of the Expression 5x2+4x+4x3+2x2\frac{5 x^{2}+4 x+4}{x^{3}+2 x^{2}}

Question 18

Multiple Choice

Find the partial fractions of the expression 5x2+4x+4x3+2x2\frac{5 x^{2}+4 x+4}{x^{3}+2 x^{2}} .


A) 1x+2x25x+2\frac{1}{x}+\frac{2}{x^{2}}-\frac{5}{x+2}
B) 1x+2x2+5x+2\frac{1}{\mathrm{x}}+\frac{2}{\mathrm{x}^{2}}+\frac{5}{\mathrm{x}+2}
C) 1x2x+5x+2\frac{1}{x}-\frac{2}{x}+\frac{5}{x+2}
D) 1x+2x2+5x+2\frac{-1}{x}+\frac{2}{x^{2}}+\frac{5}{x+2}

Correct Answer:

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