Consider points $(x,y)$ in the real plane $R^2.$ Determine a real polynomial $p$ of at most degree two, i$.$e$.p(x)=a_0+a_{1}x+a_2{x}^2$ for suitable $a_1,a_2,a_3$inR, whose graph $\{(x,p(x))$:xinR$\}$ passes through the points $(1,4),(2,0)$ and $(3,12).$