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WAEC Further Mathematics 2014 Question 9

Question 9

Polynomials

If (x + 2) and (3x − 1) are factors of 6x3 + x2 − 19x + 6, find the third factor.

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

Answer: A (2x − 3)

Explanation

(x + 2)(3x − 1) = 3x² + 5x − 2, and 6x³ + x² − 19x + 6 ÷ (3x² + 5x − 2) = 2x − 3.