Question

X-1 divided by X^3-3x^2-x+3

Answer 1

1 / (x + 1)(x - 3).

Explanation:

x^3-3x^2-x+3

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

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

= (x - 1)(x + 1)(x - 3)

So x - 1 divided by x^3 - 3x^2 - x + 3

= (x - 1) / (x - 1)(x + 1)(x - 3)

= 1 / (x + 1)(x - 3).