engineering mathematics MCQ #3695

Decompose (x + 1) / (x - 1)(x + 2) into partial fractions.

engineering mathematics MCQ #3695

  1. Question 1

    Q1. Decompose (x + 1) / (x - 1)(x + 2) into partial fractions.

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

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

    Explanation: Using partial fractions, (x + 1) / (x - 1)(x + 2) = A / (x - 1) + B / (x + 2). Solving for A, B gives A = 2/3, B = 1/3.