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

First we notice that ${x}^{3} + {x}^{2} - 10 x - 6 = \left(x - 3\right) \left({x}^{2} + 4 x + 2\right)$
$\frac{{x}^{3} + {x}^{2} - 10 - 6}{x - 3} = {x}^{2} + 4 x + 2$