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WAEC Further Mathematics 2016 Question 7

Question 7

Polynomials

Factorize completely: x2 + x2y + 3x − 10y + 3xy − 10.

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

Answer: C ((x − 2)(x + 5)(y + 1))

Explanation

Group by (1 + y): x²(1 + y) + 3x(1 + y) − 10(1 + y) = (y + 1)(x² + 3x − 10) = (x − 2)(x + 5)(y + 1).