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WAEC Mathematics 2019 Question 20

Question 20

Algebraic Expressions

Simplify: (x2 − 5x − 14)/(x2 − 9x + 14)

  1. A.(x − 7)/(x + 7)
  2. B.(x + 7)/(x − 7)
  3. C.(x − 2)/(x + 4)
  4. D.(x + 2)/(x − 2)
Show the answer and explanation

Answer: D ((x + 2)/(x − 2))

Explanation

Factorise: (x − 7)(x + 2) over (x − 7)(x − 2). Cancel (x − 7) to get (x + 2)/(x − 2).