Factorize m3 – 2m2 – m + 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)
Correct Answer: Option C
Explanation
m3 – 2m2 – m + 2
Let f(m) = m3 – 2m2 – m2 + 2
= f(1)
= 1 – 2 – 2 + 2 = 0
∴ m – 1 is factor (frac{m^3 – 2m^2 – m^2 + 2}{m – 1})
= m2 – m – 2
= (m – 1)m2 – m – 2
= (m – 1)(m + 1)(m – 2)