Find the polynomial of lowest degree that goes through the points $(2,7)$, $(4,10),(7,23),(11,5)$ by defining a generic polynomial
$$
p(x)=a+b x+c x^2+d x^3
$$
and solving the system
$$
p(2)=7, p(4)=10, p(7)=23, p(11)=5
$$
for the unknown coefficients $a, b, c, d$.