Answer:
[tex]\huge\boxed{6x^2+27x+12=3(x+4)(2x+1)}[/tex]
Step-by-step explanation:
[tex]6x^2+27x+12=3(2x^2+9x+4)=3(2x^2+8x+x+4)\\\\=3\bigg[2x(x+4)+1(x+4)\bigg]=3(x+4)(2x+1)[/tex]