engineering mathematics MCQ #3657

Resolve (x² + 1) / (x + 1)(x² + 4) into partial fractions.

engineering mathematics MCQ #3657

  1. Question 1

    Q1. Resolve (x² + 1) / (x + 1)(x² + 4) into partial fractions.

    • A) 2/5(x + 1) + (3x - 2)/5(x² + 4)
    • B) 2/5(x + 1) + (3x + 2)/5(x² + 4)
    • C) 1/(x + 1) + x/(x² + 4)
    • D) 1/(x + 1) + (x + 1)/(x² + 4)

    Answer: 2/5(x + 1) + (3x - 2)/5(x² + 4)

    Explanation: Use partial fraction decomposition with distinct linear and irreducible quadratic factors.