engineering mathematics MCQ #3717

Resolve (x² + 2) / (x + 1)(x² + 3x + 2) into partial fractions.

engineering mathematics MCQ #3717

  1. Question 1

    Q1. Resolve (x² + 2) / (x + 1)(x² + 3x + 2) into partial fractions.

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

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

    Explanation: Decomposing into partial fractions: (x² + 2) / (x + 1)(x + 1)(x + 2) = A / (x + 1) + B / (x + 1)² + C / (x + 2).