Rewrite

$\displaystyle {12}{x}^{{2}}+{22}{x}+{7}$

in the form

$\displaystyle {\left({3}{x}^{{2}}+{4}{x}\right)}\times{q}{\left({x}\right)}+{r}{\left({x}\right)}$.

$\displaystyle {12}{x}^{{2}}+{22}{x}+{7}={\left({3}{x}^{{2}}+{4}{x}\right)}\times{(}$ $\displaystyle {)}+$