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

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Answer 1 · 2016-08-09T22:37:28

$x - 1 =0 -> x= 1$

$1"_|1 -2 2 -5"$
$" 1 -1 1"$
$"--------------------------------------"$

$" 1 -1 1 -4"$

$:.(x^3 - 2x^2 + 2x - 5)/(x - 1) = x^2 - x + 1$ with a remainder of $-4$ .

Hopefully this helps!

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