Answer
prime
Work Step by Step
Rearranging the terms, the given expression is equivalent to
\begin{array}{l}\require{cancel}
4+6t^2-13t
\\\\=
6t^2-13t+4
.\end{array}
Using the factoring of trinomials in the form $ax^2+bx+c,$ the $\text{
expression
}$
\begin{array}{l}\require{cancel}
6t^2-13t+4
\end{array} has $ac=
6(4)=24
$ and $b=
-13
.$
There are no two numbers with a product of $c$ and a sum of $b.$ Hence, the expression is $\text{
prime
.}$