Question

factor polynomial

2x^3+6x^2+2x+6

Answer 1

Here we see that we can not take an 'x' out of all the terms, because the last term does not contain an x. We can, however, take out a '2' still, leaving us with:
$$2(x^3 + 3x^2 + x + 3)$$

Answer 2

Are you looking for solutions to this polynomial or the greatest common factor. I think I may have misinterpreted your question, I apologize.