Question

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

Answer 1

`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!