For a protein with two ligand binding sites, the binding polynomial has the general form: Q=[P](1+2k₁[L]+k₁k₂[L]²) where [P] is the unbound protein concentration and [L] is the free ligand concentration. The equilibrium constants are defined as: k₁=[PL]/[P][L] and k₂=[PL₂]/[PL][L] a.) Assume k₁=k₂=k=10 and [L]=0.15. Calculate the fraction of sites bound f_B. (f_B does not equal 0.84).

b.) Consider a model where k₁=k and k₂=k . If k = 10 and [L]=0.15 calculate the binding fraction. =0.1

c.) Assume k₁=k₂=k=10 and [L]=2. Calculate the fraction of sites bound f_B.

d.) Consider a model where k₁=k and k₂=k . If k = 10 and [L]=2 calculate the binding fraction. =0.1