Answer:
-1
Explanation:
If the binomial is x + 1 = 0, then x = -1. That will be the number that goes "outside" and the leading coefficients will go "inside". We have only a leading coefficient on the x to the 4th power, but we have to allow for the x-cubed, x-squared, and x terms even though they are missing. We fill those coefficients in as 0's since they are missing:
-1| 1 0 0 0 -2
Now bring down the first number, 1, and multiply it by the -1, then put the product up under the first 0. I will do bold the sums so as to not confuse:
-1| 1 0 0 0 -2
-1
1
Now add the 0 and -1, multiply that sum by the -1, and put that product up under the second 0:
-1| 1 0 0 0 -2
-1 1
1 -1
Now add the 0 and the 1, multiply that sum by the -1, and put the product up under the last 0:
-1| 1 0 0 0 -2
-1 1 -1
1 -1 1
Now add the last 0 and the -1, multiply that sum by the -1, and put that product up under the -2 and add to get the remainder:
-1| 1 0 0 0 -2
-1 1 -1 1
1 -1 1 -1 -1
The remainder is -1