- 54

- 0

^{5}-8x

^{4}+8x

^{3}+4x.

I factored out a -4x and I am left with x

^{4}+2x

^{3}-2x

^{2}-4.

The problem is I am unsure how to factor x

^{4}+2x

^{3}-2x

^{2}-4.

I know how to long divide polynomials but I have not done synthetic division in over 4 years. From what I have seen on the internet it seems like a lot of guess and check.