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WAEC Further Mathematics 2021 Question 38

Question 38

Polynomials

If (15 − 2x)/((x + 4)(x − 3)) ≡ R/(x + 4) + 9/(7(x − 3)), find the value of R.

  1. A.−32/7
  2. B.−23/7
  3. C.23/7
  4. D.32/7
Show the answer and explanation

Answer: B (−23/7)

Explanation

15 − 2x = R(x − 3) + (9/7)(x + 4). Put x = −4: 23 = −7R, so R = −23/7.