Factor the trinomial - 2h^2+5h+3

-2h²+5h+3 = - (2h+1) (h-3)

Step-by-step explanation:

-2h²+5h+3=0

Delta=5²-4 * (-2) * 3=25+24=49=7²

h1 = (-5+7) / (-4) = 2 / (-4) = -1/2

h2 = (-5-7) / (-4) = -12 / (-4) = 12/4=3

Finally

-2h²+5h+3=-2 (h+1/2) (h-3) = - (2h+1) (h-3)