Question

Q40. The smallest degree polynomial that passes through the points
(-2,1),(-1,4), (0, 11),(1,16),(2,13), (3,-4)
Is of degree​

Answer 1

Answer:

A(1,3),B(−1,−5),andC(−2,12). I can only guess that the curve is upwards and that I may create the system:

y1=ax21+bx1+cy2=ax22+bx2+cy3=ax23+bx3+c

assuming that the points are in the format A(x,y) and from this point what do I do? Do I build a matrix and use the Gaussian eliminations?

EDIT: I also know that f(4)=120