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WAEC Further Mathematics 2009 Question 15

Question 15

Polynomials

The roots of a quadratic equation are −3 and 1. Find its equation.

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

Answer: C (x2 + 2x − 3 = 0)

Explanation

(x + 3)(x − 1) = x2 + 2x − 3 = 0. Sum of roots −2, product −3.