passwella.
Menu

UI Post-UTME Mathematics 2025 (Model questions) Question 20

Question 20

Polynomials

When the polynomial P(x) = x3 + kx2 − 5x + 7 is divided by (x − 2), the remainder is 9. Find k

  1. A.2
  2. B.0
  3. C.−1
  4. D.1
Show the answer and explanation

Answer: D (1)

Explanation

By the remainder theorem P(2) = 8 + 4k − 10 + 7 = 9, so 4k = 4 and k = 1.