engineering mathematics MCQ #3692

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

engineering mathematics MCQ #3692

  1. Question 1

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

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

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

    Explanation: First, divide the numerator by the denominator. Then, decompose the remainder into partial fractions to get the result.