The problem asks us to expand the product of two binomials: $(x+2)(3x+1)$.

1. Problem Description

The problem asks us to expand the product of two binomials: $(x+2)(3x+1)$.

2. Solution Steps

We can use the distributive property (also known as the FOIL method) to expand the product of the two binomials.

$(x+2)(3x+1) = x(3x+1) + 2(3x+1)$

$= x(3x) + x(1) + 2(3x) + 2(1)$

$= 3x^2 + x + 6x + 2$

$= 3x^2 + (1+6)x + 2$

$= 3x^2 + 7x + 2$

3. Final Answer

$3x^2 + 7x + 2$