Which is the expression that can be factored using the greatest common factor for this equation? 6p^3-12p^2+9p

Question

A. 3(2p^3-4p^2+3p)
B. 3p(2p^2-4p+3)
c. 3p^2(2p^2-4p+3)
D. 6p(p^2-2p+9)

I believe it is B because only A and B work but B is the greatest common factor. Is this correct
Thanks

Answer 1

6p^3-12p^2+9p
= 3p(2p^2 - 4p + 3) , that's it, since the quadratic does not factor