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factorize m\(^3\) - m\(^2\) + 2m - 2

Mathematics
JAMB 2021

factorize m\(^3\) - m\(^2\) + 2m - 2

  • A. (m2 + 1)(m - 2)
  • B. (m - 1)(m + 1)(m + 2)
  • C. (m - 2)(m + 1)(m - 1)
  • D. (m2 + 2)(m - 1)
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Correct Answer: Option D
Explanation

Using the trial expansion of each option

(m\(^2\) + 2) (m - 1)

OR

Group the terms

(\(m^3 - m^2\)) + ( 2m - 2)

\(m^2\)(m - 1) + 2(m - 1)

(m-1)(\(m^2\) + 2)

 

There is an explanation video available below.


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