Answer
$(x-3)(x^2+4)$
Work Step by Step
Using factoring by grouping, the given expression, $
x^3-3x^2+4x-12
,$ is equivalent to
\begin{array}{l}\require{cancel}
(x^3-3x^2)+(4x-12)
\\\\=
x^2(x-3)+4(x-3)
\\\\=
(x-3)(x^2+4)
.\end{array}
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