engineering mathematics MCQ #3702

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

engineering mathematics MCQ #3702

  1. Question 1

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

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

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

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