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WAEC Further Mathematics 2019 Question 11

Question 11

Polynomials

Given that 1/(x2 − 4) ≡ P/(x + 2) + Q/(x − 2), x ≠ ±2, find the value of (P + Q)

  1. A.3/2
  2. B.1
  3. C.1/2
  4. D.0
Show the answer and explanation

Answer: D (0)

Explanation

1 = P(x − 2) + Q(x + 2). x = 2 gives Q = ¼; x = −2 gives P = −¼. P + Q = 0.