engineering mathematics MCQ #3693

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

engineering mathematics MCQ #3693

  1. Question 1

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

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

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

    Explanation: Using partial fraction decomposition, we equate 1 / (x + 1)(x + 2)(x + 3) to A / (x + 1) + B / (x + 2) + C / (x + 3) and solve for A, B, C.