Suggest using the quadratic formula here (altho' other methods would work):
a = 2; b = 5; c = 3.
-5 plus or minus sqrt( 25-4(2)(3) )
Then x = ----------------------------------------------
2(2)
-5 plus or minus sqrt (1) -5 plus or minus 1
= -------------------------------------- = --------------------------
4 4
-1 is one root, so x+1 is one factor. Can you find the other root and factor?