engineering mathematics MCQ #3670

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

engineering mathematics MCQ #3670

  1. Question 1

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

    • A) 1 + 1/(x + 1) + 4/(x + 2)
    • B) 1 - 1/(x + 1) + 4/(x + 2)
    • C) 1 + 4/(x + 1) - 9/(x + 2)
    • D) 1 + 4/(x + 2) - 1/(x + 1)

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

    Explanation: First divide, then apply partial fraction decomposition: x² / (x + 1)(x + 2) = 1 + A/(x + 1) + B/(x + 2).