Factor 8x cubed plus 4x squared plus 6x plus 3?

This is how I did it:

8x3+4x2+6x+3

[8x3+4x2]+[6x+3]

[(4x2)(2x+1)]+[(3)(2x+1)]....as you can see, this is in the general form of ab+cb, which factored is b(a+c), so:

(2x+1)(4x2+3)