Question

How do you factor `x^3+6x^2-x-30`?

Answer 1

`(x-2)(x+3)(x+5)`

Explanation:

`x^3+6x^2-x-30`

=`x^3-8+6x^2-24-(x-2)`

=`(x-2)(x^2+2x+4)+6(x+2)(x-2)-(x-2)`

=`(x-2)*[(x^2+2x+4)+6(x+2)-1]`

=`(x-2)*(x^2+8x+15)`

=`(x-2)(x+3)(x+5)`