Question

Perform the division: $x^4-16$ by $x-2$

Answer 1

Steps:

1) Multiply $x-2$ with $x^3$, to get $x^4$, Remainder $=2x^3-16$

2) Multiply $(x-2)$ with $2x^2$, to get $2x^3$, Remainder $=4x^2-16$

3)Multiply $(x-2)$ with $4x$ to get, $4x^2$, Remainder $=8x-16$

4) Multiply $(x-2)$ with $8$ to get, $8x$, Remainder $=0$