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

Problem

x cubed minus 2 x squared plus 4 x minus 8

Solution

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

open paren x cubed minus 2 x squared close paren plus open paren 4 x minus 8 close paren

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

x squared times open paren x minus 2 close paren plus 4 times open paren x minus 2 close paren

3. Identify the common binomial factor open paren x minus 2 close paren and factor it out from the entire expression.

open paren x minus 2 close paren times open paren x squared plus 4 close paren

Final Answer

x cubed minus 2 x squared plus 4 x minus 8 equals open paren x minus 2 close paren times open paren x squared plus 4 close paren

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