Look at Experiments where you change one concentration: and compare the rate ratio with the concentration ratio for data that changes only one variable. If they are equal, than the reaction rate order is 1, if the ratio is quadratic, it's 2, and so on.
PO3- conc. E2/E1 .2/.1 = 2 rxn rate: E2/E1 3/1.5 = 2 1st order in PO3-
[H2] conc E3/E1 .2/.1 = 2 rxn rate E3/E1 6/1.5 = 4 2nd order in H2
r = k[PO3-][H2]2