I am a little confused with this question

Find all the zeros of the function and write the polynomial as a product of linear factors.

g(x) = x^5 - 8x^4 + 28x^3 - 56x^2 + 64x - 32

So I believe that I have to use synthetic division with a root of 2?

1, -8, 28, -56, 64, -32

_2_l____2,_-12,_32,_-48,__32__________

1, -6, 16, -24, 16

I hope you can understand that.

Now I am confused with the next step. Do I use syntheic division again?

Thanks for any help