Question 1196286
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Due to the Remainder theorem, the remainder of division is the value of the polynomial p(x) at x= 1.


So, substitute x= 1 into the polynomial and calculate the obtained alternate sum.


Since the degree 2002 is an even number, the number of  " + 1 "  addends  will be one more 
than the number of  " -1 "  addends, so the alternate sum is 1 (one).


<U>ANSWER</U>.  The remainder is 1.
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Solved.