JAMB 1995 · UME · Q14

The graph of f(x)=x2−5x+6f(x) = x^2 - 5x + 6 crosses the xx-axis at the points

Worked solution (try it first)
  1. The graph crosses the xx-axis where f(x)=0f(x) = 0: x2−5x+6=0x^2 - 5x + 6 = 0.
  2. Factorise: (x−2)(x−3)=0(x - 2)(x - 3) = 0, so x=2x = 2 or x=3x = 3.
  3. So the points are (2,0)(2, 0) and (3,0)(3, 0), option D.

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