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JAMB Mathematics 1994 Question 16

Question 16

Polynomials

Find P if (x − 3)/((1 − x)(x + 2)) = P/(1 − x) + Q/(x + 2)

  1. A.−2/3
  2. B.−5/3
  3. C.5/3
  4. D.2/3
Show the answer and explanation

Answer: A (−2/3)

Explanation

Multiply out: x − 3 = P(x + 2) + Q(1 − x). Put x = 1 to remove Q: −2 = 3P, so P = −2/3.