engineering mathematics MCQ #3690

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

engineering mathematics MCQ #3690

  1. Question 1

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

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

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

    Explanation: By partial fraction decomposition, 1 / (x - 1)(x + 2) = A / (x - 1) + B / (x + 2). Solving for A and B gives A = 1/3, B = -1/3.