JAMB Mathematics 1997 Question 13

Question 13

Quadratic Equations

Find the minimum value of x2 − 3x + 2 for all real values of x.

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

Answer: A (−1/4)

Explanation

x² − 3x + 2 = (x − 3/2)² − 1/4, which is smallest when x = 3/2, giving −1/4.