#### Answer

Using the factoring of trinomials in the form $x^2+bx+c,$ the given expression, $
x^2+x+3
,$ has $c$ equal to $
3
$ and $b$ equal to $
1
.$
There are no two numbers that give a product of $c$ and a sum of $b.$ Hence, the given expression is not factorable or $\text{
prime
.}$