engineering mathematics MCQ #3678

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

engineering mathematics MCQ #3678

  1. Question 1

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

    • A) 1 / 9(x + 1) + 1 / 3(x - 2) + 1 / 9(x - 2)²
    • B) 1 / 9(x + 1) - 1 / 9(x - 2) + 1 / 3(x - 2)²
    • C) -1 / 9(x + 1) + 1 / 3(x - 2)² + 1 / 9(x - 2)
    • D) 1 / 9(x + 1) - 1 / 3(x - 2) + 1 / 9(x - 2)²

    Answer: 1 / 9(x + 1) - 1 / 9(x - 2) + 1 / 3(x - 2)²

    Explanation: Apply partial fraction decomposition for repeated linear factors.