Question

Create your own division of polynomials problem. Demonstrate how this problem would be solved using both long division and synthetic division.

Answer 1

create your own?

Answer 2

make your life easy and start with factored form, say
\[(x^2+x+1)(x-2)=x^3-x^2-x-2\] then divide \(x^3-x^2-x-2\) by \(x-2\) and say "look, i got \(x^2+x+1\)!