Chapter 5 - Mid-Chapter Check Point - Page 378: 3

$12x^2-x-35$

Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $ (3x+5)(4x-7) ,$ is \begin{array}{l}\require{cancel} 3x(4x)+3x(-7)+5(4x)+5(-7) \\\\= 12x^2-21x+20x-35 \\\\= 12x^2-x-35 .\end{array}