Question 810830
this problem is really strange and i can relieve you by saying you probably wont see one like this again.
so how to solve is by using the numbers 1 0 6 0 -1 -2 4 for sythetic. you are diving by a positive 1 not a -1.
1 is for x^500
0 is for x^499 to x^202 since all those numbers have 0 as a coefficient.
6 is for x^201
0 is for x^200 to x^3 all coefficients are 0
-1 is for x^2
-2 is for x^1
4 is for x^0
divide by 1 and you should get a remainder of 8.