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JAMB Mathematics 1987 Question 22

Question 22

Indices

Factorize 62x + 1 + 7(6x) − 5

  1. A.{3(6x) − 5}{2(6x) + 1}
  2. B.{3(6x) + 5}{2(6x) − 1}
  3. C.{2(6x) − 5}{3(6x) + 1}
  4. D.{2(6x) + 5}{3(6x) − 1}
Show the answer and explanation

Answer: B ({3(6x) + 5}{2(6x) − 1})

Explanation

Let y = 6x; then 62x+1 = 6y². So the expression is 6y² + 7y − 5 = (3y + 5)(2y − 1).