engineering mathematics MCQ #3673

Resolve (2x + 3) / (x² - 4) into partial fractions.

engineering mathematics MCQ #3673

  1. Question 1

    Q1. Resolve (2x + 3) / (x² - 4) into partial fractions.

    • A) 7 / 4(x - 2) + 1 / 4(x + 2)
    • B) 7 / 4(x + 2) + 1 / 4(x - 2)
    • C) -7 / 4(x + 2) + 1 / 4(x - 2)
    • D) -7 / 4(x - 2) + 1 / 4(x + 2)

    Answer: 7 / 4(x - 2) + 1 / 4(x + 2)

    Explanation: Factor denominator as (x - 2)(x + 2), then apply partial fractions to get A = 7/4 and B = 1/4.