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WAEC Further Mathematics 2013 Question 9

Question 9

Polynomials

Given that f(x) = 2x3 − 3x2 − 11x + 6 and f(3) = 0, factorize f(x).

  1. A.(x − 3)(x − 2)(2x + 2)
  2. B.(x + 3)(x − 2)(x − 1)
  3. C.(x − 3)(x + 2)(2x − 1)
  4. D.(x + 3)(x − 2)(2x − 1)
Show the answer and explanation

Answer: C ((x − 3)(x + 2)(2x − 1))

Explanation

Dividing by (x − 3) gives 2x² + 3x − 2 = (2x − 1)(x + 2). So f(x) = (x − 3)(x + 2)(2x − 1).