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JAMB Mathematics 1991 Question 16

Question 16

Algebraic Expressions

If g(x) = x2 + 3x + 4 find g(x + 1) − g(x)

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

Answer: B (2(x + 2))

Explanation

g(x + 1) = (x + 1)2 + 3(x + 1) + 4 = x2 + 5x + 8. Subtracting g(x) leaves 2x + 4 = 2(x + 2).