WAEC 2022 · Paper 1 · Q16

What value of pp will make (x2−4x+p)(x^2 - 4x + p) a perfect square?

Worked solution (try it first)
  1. To complete the square, add the square of half the coefficient of xx.
  2. Half of −4-4 is −2-2, and (−2)2=4(-2)^2 = 4.
  3. So x2−4x+4=(x−2)2x^2 - 4x + 4 = (x - 2)^2 and p=4p = 4, option C.

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