## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$3x^2-2x-16$
Using the distributive property for polynomials, the expression can be expanded to $$(x+2)(3x-8)=x(3x-8)+2(3x-8)$$ $$=3x(x) - 8x + 2(3x)-2(8)$$ $$=3x^2-8x+6x-16$$ Since $-8x$ and $6x$ are both in terms of $x$, $-8x+6x=-2x$. Thus, the expression equals $3x^2-2x-16$.