UI Post-UTME Mathematics 2025 (Model questions) Question 19

Question 19

Algebraic Expressions

If (x + 1)(x + 2)(x + 3) = x3 + ax2 + bx + 6, find the value of a + b.

  1. A.16
  2. B.11
  3. C.17
  4. D.10
Show the answer and explanation

Answer: C (17)

Explanation

Expanding gives x³ + 6x² + 11x + 6, so a = 6, b = 11 and a + b = 17.