OAU Post-UTME Mathematics 2012 Question 7

Question 7

Quadratic Equations

Which of the following is a perfect square?

  1. A.x2 − 3x − 4
  2. B.x2 + 9x + 9
  3. C.2x2 + 2x + 2
  4. D.x2 + 2x + 1
Show the answer and explanation

Answer: D (x2 + 2x + 1)

Explanation

x² + 2x + 1 = (x + 1)²; none of the others factorise as a square.