engineering mathematics MCQ #3707

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

engineering mathematics MCQ #3707

  1. Question 1

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

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

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

    Explanation: First, divide (x² + 2) by (x + 1)(x² + 1), then decompose the remainder into partial fractions.