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WAEC Further Mathematics 2017 Question 39

Question 39

Polynomials

If (2x2 − x − 3) is a factor of f(x) = 2x3 − 5x2 − x + 6, find the other factor.

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

Answer: A ((x − 2))

Explanation

(2x² − x − 3)(x − 2) = 2x³ − 5x² − x + 6, so the other factor is (x − 2).