Polynomial/f(0) is 1,f(1) is 2,f(2) is0,f(-1) is1/System/Exercise

Find a polynomial

${}f=a+bX+cX^{2}+dX^{3}\,$

with ${}a,b,c,d\in \mathbb {R}$, such that the following conditions hold.

$f(0)=1,\,f(1)=2,\,f(2)=0,\,f(-1)=1.$

Create a solution