engineering mathematics MCQ #3672

The partial fraction decomposition of 1 / (x + 1)(x² + 2x + 1) is

engineering mathematics MCQ #3672

  1. Question 1

    Q1. The partial fraction decomposition of 1 / (x + 1)(x² + 2x + 1) is

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

    Answer: 1/(x+1)³

    Explanation: Denominator factors as (x+1)³, so the fraction equals 1/(x+1)³.