engineering mathematics MCQ #3699

Resolve 1 / (x² - 4)(x + 1) into partial fractions.

engineering mathematics MCQ #3699

  1. Question 1

    Q1. Resolve 1 / (x² - 4)(x + 1) into partial fractions.

    • A) -1 / 5(x + 1) + 1 / 5(x + 2) + 1 / 20(x - 2)
    • B) -1 / 5(x + 1) - 1 / 20(x + 2) + 1 / 20(x - 2)
    • C) 1 / 5(x + 1) + 1 / 20(x - 2) - 1 / 20(x + 2)
    • D) -3 / 20(x + 1) + 1 / 12(x - 2) - 1 / 12(x + 2)

    Answer: -3 / 20(x + 1) + 1 / 12(x - 2) - 1 / 12(x + 2)

    Explanation: Decomposing 1 / (x² - 4)(x + 1) into partial fractions, we equate it to A / (x + 1) + B / (x - 2) + C / (x + 2) and solve.