engineering mathematics MCQ #3684

The partial fraction decomposition of (2x + 1) / (x² - 1) is

engineering mathematics MCQ #3684

  1. Question 1

    Q1. The partial fraction decomposition of (2x + 1) / (x² - 1) is

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

    Answer: 3 / 2(x - 1) + 1 / 2(x + 1)

    Explanation: Decompose (2x + 1) / (x - 1)(x + 1) into A / (x - 1) + B / (x + 1), then equate coefficients.