engineering mathematics MCQ #3700

The partial fraction decomposition of (x² + x + 1) / (x - 1)(x + 1) is

engineering mathematics MCQ #3700

  1. Question 1

    Q1. The partial fraction decomposition of (x² + x + 1) / (x - 1)(x + 1) is

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

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

    Explanation: Divide (x² + x + 1) by (x² - 1), then decompose the remainder into partial fractions.