Question

How do you use polynomial division to divide `x^3 + x^2 - 10x - 6` by x-3?

Answer 1

First we notice that `x^3 + x^2 - 10x - 6=(x-3)(x^2+4x+2)`

hence

`(x^3+x^2-10-6)/(x-3)=x^2+4x+2`