engineering mathematics MCQ #3654

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

engineering mathematics MCQ #3654

  1. Question 1

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

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

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

    Explanation: Apply formula for partial fraction decomposition with distinct linear factors: 1 / (x - 1)(x + 2) = A/(x - 1) + B/(x + 2).