WAEC Further Mathematics 2014 Question 31

Question 31

Polynomials

For what values of m is 9y2 + my + 4 a perfect square?

  1. A.±2√3
  2. B.±6√2
  3. C.+6
  4. D.+12
Show the answer and explanation

Answer: D (+12)

Explanation

A perfect square needs m² = 4 × 9 × 4 = 144, so m = ±12; of the options only +12 works ((3y + 2)²).