Polynomial/f(-1) is 2,f(1) is 0,f(3) is 5/System/Exercise

Find a polynomial

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

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

$f(-1)=2,\,f(1)=0,\,f(3)=5.$

To solution