Perform the long division and write the partial fraction decomposition of the remainder term.

x⁵ + 2/x² - 1

• A. x² + x - 1/2(x + 1) + 4/2(x - 1)
• B. x³ + x - 1/2(x + 1) + 3/2(x - 1)
• C. x³ + x - 1/6(x - 2) + 3/2(x + 1)
• D. x² + x - 1/2(x + 1) + 4/2(x - 1)