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JAMB Mathematics 2011 Question 13

Question 13

Polynomials

Find the remainder when x3 − 2x2 + 3x − 3 is divided by x2 + 1.

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

Answer: A (2x − 1)

Explanation

x3 − 2x2 + 3x − 3 = (x − 2)(x2 + 1) + (2x − 1), so the remainder is 2x − 1.