Find the partial fraction decomposition of fracx+7(x+1)(x−2)\\frac{x + 7}{(x+1)(x-2)}fracx+7(x+1)(x−2).
frac−2x+1+frac3x−2\\frac{-2}{x+1} + \\frac{3}{x-2}frac−2x+1+frac3x−2
frac2x+1+frac3x−2\\frac{2}{x+1} + \\frac{3}{x-2}frac2x+1+frac3x−2
frac3x+1+frac−2x−2\\frac{3}{x+1} + \\frac{-2}{x-2}frac3x+1+frac−2x−2
frac−3x+1+frac2x−2\\frac{-3}{x+1} + \\frac{2}{x-2}frac−3x+1+frac2x−2