Answer
$2x^3 -x^2- x - 3$
Work Step by Step
We multiply each term of the first polynomial by each term of the second polynomial and then combine the like terms as follows
$$
(2x - 3)(x^2 + x + 1)= 2 x^3+2x^2+2x-3x^2 -3x - 3\\
=2x^3 -x^2- x - 3
.$$