#### Answer

(x+2)(3x+1)

#### Work Step by Step

$3x^{2}$ + 7x +2
step 1. Find two first terms whose product is $3x^{2}$
$3x^{2}$ +7x +2 =(3x__)(x__)
Step 2. To find the second term of each factor, we must find two integers whose product is 2 and whose sum is 7
List pairs of factors of the constant, 2
(1,2)
step 3. The correct factorization of $3x^{2}$ +7x +2 is the one in which the sum of the Outside and Inside products is equal to 7x
list of the possible factorization :
(x+2)(3x+1)= $3x^{2}$ +7x +2
So, (x+2)(3x+1) is the solution.