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JAMB Mathematics 1982 Question 6

Question 6

Algebraic Expressions

The factors of 6x − 5 − x2 are

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

Answer: D ((x − 5)(1 − x))

Explanation

6x − 5 − x² = −(x² − 6x + 5) = −(x − 5)(x − 1) = (x − 5)(1 − x).