Algebra
posted by Kim on .
factor trinomial
This is what I have so far don't know where to go from here
4h^2 + 8h  5
(4h^22h) + (10h5)
2h(h5) + 5(2h1)
cant figure out what to do next

4h^2 + 8h  5 is a quadratic, so do not factor by grouping. It has only 2 factors.
Try (2h + _)(2h  _). (The other possibility is (4h +/ _)(h +/ _).
(2h + 5)(2h  1) gives the +8h we need. 
4h^2 + 8h  5.
Use the AC Method:
A*C = 4*5 = 20 = 2*10.
4h^2 + (2h + 10h)  5,
Group the 4 terms into 2 factorable
pairss:
(4h^2  2h) + (10h  5),
2h(2h  1) + 5(2h  1),
Factor out (2h  1):
(2h  1)(2h + 5).