Factorise : xx^(3) - 2x^(2) - x + 2

Question

Factorise :
x
`x^(3) - 2x^(2) - x + 2`

Answer 1

Explanation:

`x^(3)-2x^(2)-x+2\\ =x(x^(2)-2x-1)+2\\`

We can clearly see here that x = 1 is one of the solution where this expression becomes zero

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