Factor by Grouping sin(x)

Problem

x3−4*x2+2*x−8

Solution

1. Group the terms into two pairs to find common factors within each group.

(x3−4*x2)+(2*x−8)

2. Factor out the greatest common factor from the first pair, which is x2

x2*(x−4)+(2*x−8)

3. Factor out the greatest common factor from the second pair, which is 2

x2*(x−4)+2*(x−4)

4. Identify the common binomial factor (x−4) and factor it out from the entire expression.

(x2+2)*(x−4)

Final Answer

x3−4*x2+2*x−8=(x2+2)*(x−4)

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