engineering mathematics MCQ #3698

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

engineering mathematics MCQ #3698

  1. Question 1

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

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

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

    Explanation: Decomposing into partial fractions, (2x + 1) / (x + 1)(x - 2) = A / (x + 1) + B / (x - 2). Solving for A, B gives A = -1/3, B = 5/3.