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WAEC Further Mathematics 2025 Objective — Question 21

Question 21 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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The polynomial g(x) = 2x³+3x²+qx-1 has the same remainder when divided by (x+2) and (x-1). Find the value of q.

  • A. -11
  • B. -9
  • C. -3Correct
  • D. -1

Explanation

g(-2)=g(1): (-16+12-2q-1) = (2+3+q-1) leads to -2q-5 = q+4, so -3q=9, q=-3.

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