engineering mathematics MCQ #3691

The partial fraction decomposition of (2x + 3) / (x² - 4) is

engineering mathematics MCQ #3691

  1. Question 1

    Q1. The partial fraction decomposition of (2x + 3) / (x² - 4) is

    • A) 7 / 4(x - 2) + 1 / 4(x + 2)
    • B) 7 / 4(x + 2) + 1 / 4(x - 2)
    • C) 1 / 4(x + 2) - 7 / 4(x - 2)
    • D) -7 / 4(x + 2) + 1 / 4(x - 2)

    Answer: 7 / 4(x - 2) + 1 / 4(x + 2)

    Explanation: Decomposing into partial fractions, (2x + 3) / (x² - 4) = A / (x - 2) + B / (x + 2). We find A = 7/4, B = 1/4.