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WAEC Further Mathematics 2026 Question 32

Question 32

Polynomials

If 3x2 − 12x + k = 0 has real and unequal roots, find the range of values of k

  1. A.k < 12
  2. B.k < −12
  3. C.k > −12
  4. D.k > 12
Show the answer and explanation

Answer: A (k < 12)

Explanation

Real, unequal roots need b² − 4ac > 0: 144 − 12k > 0, so k < 12.