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JAMB Mathematics 1981 Question 18

Question 18

Polynomials

Factorize 3x3 + 4x2 − 13x + 6 completely, given that x − 1 is a factor.

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

Answer: E ((x − 1)(x + 3)(3x − 2).)

Explanation

Dividing by x − 1 gives 3x² + 7x − 6, which factorises as (x + 3)(3x − 2).