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JAMB Mathematics 1998 Question 15

Question 15

Polynomials

Divide 2x3 + 11x2 + 17x + 6 by 2x + 1

  1. A.x2 + 5x + 6
  2. B.2x2 + 5x + 6
  3. C.2x2 − 5x + 6
  4. D.x2 − 5x + 6
Show the answer and explanation

Answer: A (x2 + 5x + 6)

Explanation

Long division gives x² + 5x + 6 with no remainder; check: (2x + 1)(x² + 5x + 6) = 2x³ + 11x² + 17x + 6.