Question

How do you factor `2x^3+4x^2-18x-36`?

Answer 1

Group and extract common factors from subgroups before recombining:

`color(red)(2x^3+4x^2)color(blue)(-18x-36)`

`=color(red)((2x^2)(x+2)) -color(blue)((18)(x+2))`

`=(2x-18)(x+2)`
or
`=2(x-9)(x+2)`