engineering mathematics MCQ #3710

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

engineering mathematics MCQ #3710

  1. Question 1

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

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

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

    Explanation: Using partial fraction decomposition: (x² + 1) / (x + 1)³ = A / (x + 1) + B / (x + 1)² + C / (x + 1)³.