Question

Find the remainder when x^1002+x^1001+x^1000+...+X is divided by X+1​

Answer 1

Step-by-step explanation:

zero of X+1

that is, X+1=0

x=-1

Remainder =(-1)^1002+(-1)^1001+. .....+(-1)

=1-1+1-1+............+(-1)=0