Question

How do you factor `-3x(x-2)+4x(x+1)+9`?

Answer 1

`(x+1)(x+9)`

Explanation:

Multiply out the brackets

`-3x^2+6x" "+4x^2+4x" "+9`

`4x^4-3x^2+6x+4x+9`

`x^2+10x+9`

Notice that `1xx9=9" and that "1+9=10`

`(x+1)(x+9)`