Question

How do you factor by grouping `x^3 - x^2 -6x + 6`?

Answer 1

`x^3-x^2-6x+6`

`=(x^3-x^2) - (6x-6)`

`=(x^2)(x-1)-(6)(x-1)`

`=(x^2-6)(x-1)`

...if you wanted you could continue to factor:
`=(x-sqrt(6))(x+sqrt(6))(x-1)`
but is this really any improvement?