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WAEC Further Mathematics 2007 Question 2

Question 2

Polynomials

Given that α and β are the roots of an equation such that α + β = 3 and αβ = 2, find the equation.

  1. A.x2 − 3x + 2 = 0
  2. B.x2 − 2x + 3 = 0
  3. C.x2 − 3x + 2 = 0
  4. D.x2 − 2x − 3 = 0
Show the answer and explanation

Answer: A (x2 − 3x + 2 = 0)

Explanation

A quadratic with roots α and β is x² − (α + β)x + αβ = 0, so x² − 3x + 2 = 0.