engineering mathematics MCQ #3658

The partial fraction decomposition of (x + 2) / (x² - 4) is

engineering mathematics MCQ #3658

  1. Question 1

    Q1. The partial fraction decomposition of (x + 2) / (x² - 4) is

    • A) 1/(x - 2) + 1/(x + 2)
    • B) 1/2(x + 2) + 1/4(x - 2)
    • C) 1/4(x - 2) + 1/4(x + 2)
    • D) 1/4(x + 2) + 3/4(x - 2)

    Answer: 1/4(x - 2) + 1/4(x + 2)

    Explanation: First factor denominator, then apply partial fraction decomposition: (x + 2) / (x - 2)(x + 2) = A/(x - 2) + B/(x + 2).