#### Answer

$x^{2}-7x-18$

#### Work Step by Step

To find the product of $(x-9)$ and $(x+2)$, we need to use the distributive property in which each term of the first polynomial is multiplied to each term of the second polynomial:
$(x-9)(x+2)$
=$x(x+2)-9(x+2)$
=$x^{2}+2x-9x-18$
=$x^{2}-7x-18$