engineering mathematics MCQ #3696

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

engineering mathematics MCQ #3696

  1. Question 1

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

    • A) 1 / 9(x - 2) - 1 / 9(x + 1) + 1 / 3(x + 1)²
    • B) 1 / 9(x + 1) + 1 / 9(x - 2) + 1 / 3(x + 1)²
    • C) -1 / 9(x + 1) + 1 / 9(x - 2) + 1 / 3(x + 1)²
    • D) 1 / 9(x - 2) + 1 / 9(x + 1) - 1 / 3(x + 1)²

    Answer: -1 / 9(x + 1) + 1 / 9(x - 2) + 1 / 3(x + 1)²

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