Post-UTME Mathematics 2013 Objective — Question 19
Question 19 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.
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Express 5x-12/((x-2)(x-3)) in partial fractions
- A. 2/(x-2) - 3/(x-3)
- B. 2/(x-2) + 3/(x-3)Correct
- C. 2/(x-3) - 3/(x-2)
- D. 5/(x-3) - 4/(x-2)
Explanation
5x-12=A(x-3)+B(x-2). At x=2: A=2. At x=3: B=3. So 2/(x-2)+3/(x-3).
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