engineering mathematics MCQ #3703

The partial fraction decomposition of (x + 3) / (x + 1)(x - 2) is

engineering mathematics MCQ #3703

  1. Question 1

    Q1. The partial fraction decomposition of (x + 3) / (x + 1)(x - 2) is

    • A) -2 / 3(x + 1) + 5 / 3(x - 2)
    • B) 2 / 3(x + 1) + 5 / 3(x - 2)
    • C) 2 / 3(x - 2) + 5 / 3(x + 1)
    • D) -2 / 3(x - 2) + 5 / 3(x + 1)

    Answer: -2 / 3(x + 1) + 5 / 3(x - 2)

    Explanation: Using partial fraction decomposition, (x + 3) / (x + 1)(x - 2) = A / (x + 1) + B / (x - 2). We get A = -2/3, B = 5/3.