Question

1

Answer 1

remainder is 0 because
\[f(-1)=0\]

Answer 2

if you are doing synthetic division, then you are forgetting to substitute the 0 for the x^2 coefficient

Answer 3

\[x^3-4x+1=(x+1)(\text{something})\] and you can find the something either by division or by thinking

Answer 4

My table looks like this:

-1/ 3 -4 -1

_______-3___7
3 -7 6