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JAMB Mathematics 2017 Objective — Question 17

Question 17 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

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If x-3 divides x³-2x²-x+6, find the remainder.

  • A. A. 27
  • B. B. 9
  • C. C. 12Correct
  • D. D. 18

Explanation

By the remainder theorem, remainder = f(3) = 3³-2(3)²-3+6 = 27-18-3+6 = 12.

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