Answer
$x^3 +3x^2- 2x - 4$
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
$$
(x + 1)(x^2 + 2x - 4)= x^3+2x^2-4x+ x^2 + 2x - 4\\
=x^3 +3x^2- 2x - 4
.$$