Answer
$(2x-5)(5x^2+1)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
10x^3-25x^2+2x-5
,$ is
\begin{array}{l}
(10x^3-25x^2)+(2x-5)
\\\\=
5x^2(2x-5)+(2x-5)
\\\\=
(2x-5)(5x^2+1)
.\end{array}
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