engineering mathematics MCQ #3683

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

engineering mathematics MCQ #3683

  1. Question 1

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

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

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

    Explanation: Decompose 1 / (x - 1)(x² + x + 1) into A / (x - 1) + (Bx + C) / (x² + x + 1), equate coefficients.