engineering mathematics MCQ #3688

engineering mathematics MCQ #3688

1. Question 1

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

   • A) 1 / (x + 1) + 1 / (x + 2) + 1 / (x + 3)
   • B) 1 / 2(x + 1) - 1 / (x + 2) + 1 / 2(x + 3)
   • C) 1 / (x + 1) - 1 / (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: Decompose into A / (x + 1) + B / (x + 2) + C / (x + 3), then equate coefficients.