engineering mathematics MCQ #3712

Resolve (x + 3) / (x - 1)(x + 2) into partial fractions.

engineering mathematics MCQ #3712

  1. Question 1

    Q1. Resolve (x + 3) / (x - 1)(x + 2) into partial fractions.

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

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

    Explanation: Decomposing into partial fractions and solving for A and B: (x + 3) / (x - 1)(x + 2) = A / (x - 1) + B / (x + 2).