engineering mathematics MCQ #3661

engineering mathematics MCQ #3661

1. Question 1

   Q1. The partial fraction decomposition of 1 / (x + 1)(x + 2)(x + 3) is

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

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

   Explanation: Apply partial fraction decomposition with distinct linear factors: 1 / (x + 1)(x + 2)(x + 3) = A/(x + 1) + B/(x + 2) + C/(x + 3).