engineering mathematics MCQ #3685

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

engineering mathematics MCQ #3685

  1. Question 1

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

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

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

    Explanation: Decompose into A / (x + 1) + (Bx + C) / (x² + 2x + 2), equate coefficients to find A, B, C.