WAEC Further Mathematics 2006 Question 5

Question 5

Polynomials

If (x − 3) is a factor of 2x3 + 3x2 − 17x − 30, find the remaining factors

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

Answer: D ((2x + 5)(x + 2))

Explanation

Dividing by (x − 3) leaves 2x² + 9x + 10, which factorises as (2x + 5)(x + 2).