Question

Perform the division: $x^3-1$ by $x-1$

Answer 1

Steps:

1) Multilply $x^2$ with $x-1$ to get $x^3$, Remainder $=x^2-1$

2) Multiply $x$ with $x-1$ to get $x^2$, Remainder $=x-1$

3) Multiply $1$ with $x-1$ to get $x-1$, Remainder $=0$