How would I factor the trinomial

Question

s^2-11s+30

Answer 1

You know it's going to be

(s-?)(s-?)

You know that the two unknown numbers have to multiply to make 30.

So, there are just a few choices:

1,30 or 2,15 or 3,10 or 5,6

Now, they have to add to 11 to make the middle work out. That makes 5,6 the only choice:

(s-5)(s-6)