# How do you use synthetic division to divide x^3-2x^2+2x-5 divided by (x-1)?

Aug 9, 2016

$x - 1 = 0 \to x = 1$

$1 \text{_|1 -2 2 -5}$
$\text{ 1 -1 1}$
$\text{--------------------------------------}$

$\text{ 1 -1 1 -4}$

$\therefore \frac{{x}^{3} - 2 {x}^{2} + 2 x - 5}{x - 1} = {x}^{2} - x + 1$ with a remainder of $- 4$.

Hopefully this helps!