Factor x^3-3x^2+4x-12

Problem

x3−3*x2+4*x−12

Solution

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

(x3−3*x2)+(4*x−12)

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

x2*(x−3)+4*(x−3)

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

(x2+4)*(x−3)

Final Answer

x3−3*x2+4*x−12=(x2+4)*(x−3)

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