Polynomial Division

Question

What is the remainder if 3x32-1 is divided to x-1?

Answer 1

(3x^32 -1)/(x-1) = 3x^31 +31x^30+...3x+3 + remainder 2

or use synthetic division

1 |3 0 0 0 0 ....0 0 -1

_____________

3 3 3 3 3....3 3 2

remainder =2

divisor = x-1

dividend = 3x^32 -1

quotient = 3x^31+3x^30+3x^29+...+3x3+3x^2+3x+3