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Factor completely: 2x3 + 6x2 + 2x + 6 I will award medals

Mathematics
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Well, this is going to be a fun one.
Great :)
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Other answers:

http://www.purplemath.com/modules/factquad4.htm
Read that.
you can divide it in 2 parts as follows: (2x^3+6x^2) + (2x+6) then simplify
you get 2x^2(x+3)+2(x+3)
that is equal to (2x^2+2)(x+3)
What happens to the GCF?
ok, so @SnuggieLad, would this be it, 2[(x + 3)(x2 + 1)]
no, the GCF could be 2x^2(x+3)+2(x+3)
Ive you got this one.
@ivettef365, how? Not all of the constants or coefficients have the x^2
that is why it needs to be divided in two parts, otherwise the GCF for the whole problem would be 2
Which is what I thought.
and then you have 2(x^3+3x^2+x+3)
but the question asks to factor completely
Yea, so when you factor everything don't you get 2[(x + 3)(x2 + 1)] so when you distribute you get the original problem.

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