SOLUTION: when x^13 + 1 is divided by x-1 the remainder is a) 1 b) -1 c) 0 d) 2 e) none

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Question 233403: when x^13 + 1 is divided by x-1 the remainder is
a) 1 b) -1 c) 0 d) 2 e) none
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
If you can picture the synthetic division of these two, you would be able to see what the remainder will be. Also, if you understand that the value of an expression for x = a is equal to the remainder of dividing the expression by (x-a) then all we need to do to find the remainder from division by (x-1) is to find the value of x%5E13+%2B+1 when x = 1.

If you still need to see the division:
1 |  1 0 0 0 0 0 0 0 0 0 0 0 0 1
---    1 1 1 1 1 1 1 1 1 1 1 1 1
     ---------------------------
       1 1 1 1 1 1 1 1 1 1 1 1 2

The remainder is 2.