11.4E: Partial Fractions (Exercises)

For the following exercises, decompose into partial fractions.

31. \(\frac{-2 x+6}{x^{2}+3 x+2}\)

32. \(\frac{10 x+2}{4 x^{2}+4 x+1}\)

33. \(\frac{7 x+20}{x^{2}+10 x+25}\)\

34. \(\frac{x-18}{x^{2}-12 x+36}\)

35. \(\frac{-x^{2}+36 x+70}{x^{3}-125}\)

36. \(\frac{-5 x^{2}+6 x-2}{x^{3}+27}\)

37. \(\frac{x^{3}-4 x^{2}+3 x+11}{\left(x^{2}-2\right)^{2}}\)

38. \(\frac{4 x^{4}-2 x^{3}+22 x^{2}-6 x+48}{x\left(x^{2}+4\right)^{2}}\)

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