Answer
$3x^{2}$, $5x$, $21x$, $35$
Work Step by Step
When using the FOIL method to find $(x+7)(3x+5)$, the product of the first terms is $3x^{2}$, the product of the outside terms is $5x$, the product of the inside terms is $21x$, and the product of the last terms is $35$.
This concept is further explained on page 54.