Set and solve a linear system find a polynomial pp of degree 4
such that
p(0)=1, p(1)=1, p(2)=11, p(3)=61, and p(4)=205.
Your answer will be an expression in x.
Modifying your calculation, and without starting from scratch,
find a polynomial qq of degree 4 such that q(0)=2, q(1)=3, q(2)=34,
q(3)=167, and q(4)=522.
q(x) = ?