Answer
$-2x^{2}-7x-6$
Work Step by Step
To find the product of $(-x-2)$ and $(2x+3)$, we need to use the distributive property in which each term of the first polynomial is multiplied to each term of the second polynomial:
$(-x-2)(2x+3)$
=$-x(2x+3)-2(2x+3)$
=$-2x^{2}-3x-4x-6$
=$-2x^{2}-7x-6$