x(x^2 - 2x + 3) - 1(x^2 - 2x + 3)

(x - 1)(x^2 -2x + 3) / (x-1)

x^2 - 2x + 3

x^2-2x+3 .

1 I 1______-3______5______-3

_ l________-1_____-4_______1

_ l 1______- 4______1______-2

x² - 4x + 1 - 2/( x - 1 )

Use synthetic division.