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JAMB Mathematics 2010 Question 15

Question 15

Algebraic Expressions

Factorize completely (x3 + 3x2 − 10x)/(2x2 − 8)

  1. A.(x2 + 5)/(2x + 4)
  2. B.x(x + 5)/2(x + 2)
  3. C.x(x − 5)/2(x + 2)
  4. D.x(x − 5)/2(x − 2)
Show the answer and explanation

Answer: B (x(x + 5)/2(x + 2))

Explanation

The top is x(x2 + 3x − 10) = x(x + 5)(x − 2) and the bottom is 2(x − 2)(x + 2). Cancelling (x − 2) leaves x(x + 5)/2(x + 2).