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WAEC Further Mathematics 2007 Question 22

Question 22

Polynomials

The equation of a curve is given by y = 2x2 − 5x + k. If the curve has two intercepts on the x-axis, find the value(s) of constant k.

  1. A.k = 8/25
  2. B.k = 25/8
  3. C.k < 25/8
  4. D.k > 25/8
Show the answer and explanation

Answer: C (k < 25/8)

Explanation

Two x-intercepts means two distinct real roots: b² − 4ac > 0, so 25 − 8k > 0 and k < 25/8.