engineering mathematics MCQ #3656

The value of A in the partial fraction decomposition of 1 / (x - 2)²(x + 1) = A/(x - 2) + B/(x - 2)² + C/(x + 1) is

engineering mathematics MCQ #3656

  1. Question 1

    Q1. The value of A in the partial fraction decomposition of 1 / (x - 2)²(x + 1) = A/(x - 2) + B/(x - 2)² + C/(x + 1) is

    • A) -1/9
    • B) 1/9
    • C) -1/3
    • D) 1/3

    Answer: -1/9

    Explanation: Clear fractions, then equate coefficients to find A: 1 = A(x - 2)(x + 1) + B(x + 1) + C(x - 2)².