## santiagosoto 2 years ago Factor completely: 2x3 + 6x2 + 2x + 6 I will award medals

Well, this is going to be a fun one.

2. santiagosoto

Great :)

3. santiagosoto

Hello?

6. ivettef365

you can divide it in 2 parts as follows: (2x^3+6x^2) + (2x+6) then simplify

7. ivettef365

you get 2x^2(x+3)+2(x+3)

8. ivettef365

that is equal to (2x^2+2)(x+3)

9. santiagosoto

What happens to the GCF?

10. santiagosoto

ok, so @SnuggieLad, would this be it, 2[(x + 3)(x2 + 1)]

11. ivettef365

no, the GCF could be 2x^2(x+3)+2(x+3)

Ive you got this one.

13. santiagosoto

@ivettef365, how? Not all of the constants or coefficients have the x^2

14. ivettef365

that is why it needs to be divided in two parts, otherwise the GCF for the whole problem would be 2

15. santiagosoto

Which is what I thought.

16. ivettef365

and then you have 2(x^3+3x^2+x+3)

17. ivettef365

but the question asks to factor completely

18. santiagosoto

Yea, so when you factor everything don't you get 2[(x + 3)(x2 + 1)] so when you distribute you get the original problem.