I've done my homework this time and I think I have answers to some of my questions!

The thing is I don't know if I'm right.......

Factor the following polynomials.

1

x^2+x-6

I used brute force and got the answer (x+3)(x-2), I do not remember how to show working for this kind of question though.

2

6x^2+13x-5

Same deal here....Brute force, no idea how to show working.....

The area of a right triangle is 250 in^2. find the lengths of its legs if one leg is 5 inches longer than the other.(use the five step method)

I know the lengths: 20 in and 25 in, but as above I use brute force, so--yeah, I'm a little clueless as to how to show my work.

x^3+5x^2=6x

I think that the answer could be 0,1 or -6, I found -6 using a math program so I don't quite know how I would show that--are they all correct, or just 2 of them? Could I just put {-6,0,1} and call that my answer?