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WAEC Further Mathematics 2023 Question 3

Question 3

Polynomials

If (x − 5) is a factor of x3 − 4x2 − 11x + 30, find the remaining factors.

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

Answer: C ((x + 3) and (x − 2))

Explanation

Dividing by (x − 5) leaves x² + x − 6 = (x + 3)(x − 2).