Factor x^3-2x^2+4x-8

Problem

x3−2*x2+4*x−8

Solution

1. Group the terms into two pairs to prepare for factoring by grouping.

(x3−2*x2)+(4*x−8)

2. Factor out the greatest common factor from each pair.

x2*(x−2)+4*(x−2)

3. Identify the common binomial factor (x−2) and factor it out from the entire expression.

(x−2)*(x2+4)

Final Answer

x3−2*x2+4*x−8=(x−2)*(x2+4)

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