engineering mathematics MCQ #3701

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

engineering mathematics MCQ #3701

  1. Question 1

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

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

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

    Explanation: Using partial fractions for a linear and an irreducible quadratic factor, 1 / (x + 1)(x² - x + 1) = A / (x + 1) + (Bx + C) / (x² - x + 1).