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JAMB Mathematics 1990 Question 18

Question 18

Polynomials

Divide x3 − 2x2 − 5x + 6 by (x − 1).

  1. A.x2 − x − 6
  2. B.x2 − 5x + 6
  3. C.x2 − 7x + 6
  4. D.x2 − 5x − 6
Show the answer and explanation

Answer: A (x2 − x − 6)

Explanation

Long (or synthetic) division by x − 1 leaves no remainder and gives x2 − x − 6. Check: (x − 1)(x2 − x − 6) = x3 − 2x2 − 5x + 6.