#### Answer

$2x^3-11x^2+17x-5$

#### Work Step by Step

Using the Distributive Property, the product of the given expression, $
(2x-5)(x^2-3x+1)
,$ is
\begin{array}{l}\require{cancel}
2x(x^2)+2x(-3x)+2x(1)-5(x^2)-5(-3x)-5(1)
\\\\=
2x^3-6x^2+2x-5x^2+15x-5
\\\\=
2x^3+(-6x^2-5x^2)+(2x+15x)-5
\\\\=
2x^3-11x^2+17x-5
.\end{array}