1) $\frac{-5x + 4}{x^2 - x} = \frac{4}{x} - \frac{9}{x-1}$
2) $\frac{3x + 10}{x^2 + 9x + 20} = \frac{2}{x+4} + \frac{1}{x+5}$
3) $\frac{-2x^2 + 4x + 14}{x^2 - 6x + 5} = -2 + \frac{1}{x-1} + \frac{1}{x-5}$
4) $\frac{2x^2 - 9x - 10}{x^2 - 5x} = 2 + \frac{2}{x} - \frac{3}{x-5}$
5) $\frac{-7x - 15}{x^2 + 6x + 9} = \frac{-7}{x+3} + \frac{6}{(x+3)^2}$
6) $\frac{-2x^2 + 19x - 13}{x^3 - 7x^2 + 11x - 5} = \frac{2}{x-1} - \frac{4}{(x-1)^2} + \frac{4}{x-5}$
7) $\frac{-6x^2 + 3x + 5}{x^3 - x} = \frac{-5}{x} + \frac{1}{x-1} + \frac{1}{x+1}$
8) $\frac{20x + 9}{25x^2 + 20x + 4} = \frac{4}{5x+2} + \frac{1}{(5x+2)^2}$
9) $\frac{-4x^4 - 26x^2 - 2x^3 - 8x - 44}{(x + 1)(x^2 + 3)^2} = \frac{-4}{x+1} + \frac{2x}{x^2+3} + \frac{2}{(x^2+3)^2}$
10) $\frac{-2x^3 + 36x^2 - 199x + 375}{x(x - 5)^3} = \frac{3}{x} - \frac{2}{x-5} + \frac{1}{(x-5)^2} - \frac{10}{(x-5)^3}$
11) $\frac{15x^2 - 11x - 5}{x(x + 1)(2x - 5)} = \frac{1}{x} + \frac{3}{x+1} + \frac{1}{2x-5}$
12) $\frac{2x^4 - 8x^2 - 10 + 3x^3 - 9x}{x(x^2 + 1)(x^2 - 5)} = \frac{2}{x} + \frac{1}{x^2+1} + \frac{1}{x-\sqrt{5}} + \frac{1}{x+\sqrt{5}}$
Parent Tip: Review the logic above to help your child master the concept of partial fractions worksheet.
