Students often have difficulty when factoring by grouping because they are not able to tell when the polynomial is completely factored. For example,
$$5 y(2 x-3)+8 t(2 x-3)$$
is not in factored form, because it is the sum of two terms: $5 y(2 x-3)$ and $8 t(2 x-3)$ However, because $2 x-3$ is a common factor of these two terms, the expression can now be factored.
$$(2 x-3)(5 y+8 t)$$
The factored form is a product of two factors: $2 x-3$ and $5 y+8 t$
Determine whether each expression is in factored form or is not in factored form. If it is not in factored form, factor it if possible.
8(7 t+4)+x(7 t+4)