1:
=3x^2+9x-2x-6
=3x(x+3)-2(x+3)
=(x+3)(3x-2)
2: =3(x^2+x-2)
=3(x^2+2x-x-2)
=3[x(x+2)-(x+2)]
=3(x+2)(x-1)
3: =3(x^2-x-2)
=3(x^2-2x+x-2)
=3(x-2)(x+1)
4: =6x^2-9x-4x+6
=3x(2x-3)-2(2x-3)
=(2x-3)(3x-2)
5: =6x^2+9x+4x+6
=3x(2x+3)+2(2x+3)
=(2x+3)(3x+2)
6: =3(2x^2+5x+2)
=3(2x^2+4x+x+2)
=3(x+2)(2x+1)
7: =3(2x^2-5x+2)
=3(2x^2-4x-x+2)
=3(x-2)(2x-1)
8: =2(3x^2+10x+3)
=2(3x^2+9x+x+3)
=2(x+3)(3x+1)