JAMB Mathematics 1991 Question 17

Question 17

Algebraic Expressions

Factorize m3 − 2m2 − m + 2

  1. A.(m2 + 1)(m − 2)
  2. B.(m + 1)(m + 1)(m + 2)
  3. C.(m − 2)(m + 1)(m − 1)
  4. D.(m2 + 2)(m − 1)
Show the answer and explanation

Answer: C ((m − 2)(m + 1)(m − 1))

Explanation

Group: m2(m − 2) − 1(m − 2) = (m2 − 1)(m − 2) = (m − 2)(m + 1)(m − 1).