Question

What are the factors for `6w^3 + 30w^2 -18w - 90 = 0`?

Answer 1

`6w^3+30w^2 - 18w-90 = 0`

Grouping
`color(red)((6w^3+30w^2)) - color(blue)((18w+90)) = 0`

`color(red)((6w^2)(w+5)) - color(blue)((18)(w+5))`

`(6x^2-18)(w+5)`

Final check for other obvious common factors:
`6(x^2-3)(w+5)`

`(x^2-3)` could be factored as `(x+sqrt(3))(x-sqrt(3))` but it is not obvious that this would be any clearer.