engineering mathematics MCQ #3706

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

engineering mathematics MCQ #3706

  1. Question 1

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

    • A) 4 / 5(x - 3) - 1 / 5(x + 2)
    • B) -4 / 5(x - 3) + 1 / 5(x + 2)
    • C) 1 / 5(x + 2) + 4 / 5(x - 3)
    • D) -1 / 5(x + 2) + 4 / 5(x - 3)

    Answer: -1 / 5(x + 2) + 4 / 5(x - 3)

    Explanation: Decomposing (x + 1) / (x + 2)(x - 3) into partial fractions, we find A = -1/5, B = 4/5.