## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

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 $\text{ prime .}$
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 $\text{ prime .}$