Algebraically determine the roots of f(m)=m^3-2m^2+4m-8

Roots: 2, 2i, -2i

Step-by-step explanation:

Set the expression equal to zero:

Factor out common terms:

Factor out (m-2):

This equation will be true when either one of the multiplicands is equal to 0. Write 2 equations and solve:

Roots: 2, 2i, -2i

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