How do you factor the expression #48g^2-22gh-15h^2#?
(8g + 3h)(6g - 5h)
Consider g as variable and h as a constant, then factor this trinomial:
Use the systematic new AC Method (Socratic Search)
p' and q' have opposite signs because ac < 0.
Compose factor pairs of (-720h^2) with a calculator -->.
...(-15h, 48h)(15h, -48h)(-18h, 40h)(18h, -40h). This sum is (-22h = b).
Then, p' = 18h and q' = -40h. Back to original f(g):