Chapter 4 - Mixed Review Exercises - Page 319: 11

$8x^2-10x-3$

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the given expression, $ (4x+1)(2x-3) ,$ is \begin{array}{l}\require{cancel} 4x(2x)+4x(-3)+1(2x)+1(-3) \\\\= 8x^2-12x+2x-3 \\\\= 8x^2-10x-3 .\end{array}