HW Help - Factoring Trinomials

Factor each trinomial, if possible. If the trinomial cannot be factored using integers, write *prime*.

I'm listing 5 problems because each type varies and there is a whole section about them on the worksheet not because I want you to do more of my homework for me (Worried). THANKS A LOT FOR THE HELP GUYS!!! Please try to explain your best I am truly grateful :D.

Both Positive #'s:

2b^2 + 10b + 12

One negative and one positive #:

4x^2 + 4x - 3

Both negative #'s:

8b^2 - 5b - 10

With = to some # problem??

3h^2 + 2h - 16 = 0

Word Problem, I find these very difficult =*[

Lauren dove into a swimming pool from a 15-foot-high diving board with an initial upward velocity of 8 feet per second. Find the time *t* in seconds in took Lauren to enter the water. Use the model of vertical motion given by the equation h= -16t^2 + vt + s, where *h* is height in feet, *t* is time in seconds, *v* is the initial upward velocity in feet per second, and *s* is the initial height in feet. (*Hint*: Let h = 0 represent the surface of the pool.)

Thanks again I really want to understand this but I find it very difficult (Headbang)