Unilorin Post-UTME Mathematics 2022 (Model questions) Question 17

Question 17

Polynomials

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

  1. A.27
  2. B.9
  3. C.12
  4. D.18
Show the answer and explanation

Answer: C (12)

Explanation

By the remainder theorem, the remainder is f(3) = 27 − 18 − 3 + 6 = 12.