Let us try A
If we put x = -3 , then y= 27-36+3+1=-5 , thus it us not the polynomial of given points
Now moving onto B
If x = -3, then y =-81-27+36-3-1=76
If x= -1 , then y=-1-1+4-1-1=0
If x =0, then y=-0-0+0-0-1=-1
If x =1, then y= -1+1+4+1-1=4
Thus it is also not the polynomial with given point.
Now onto c
x= -3 , y=81+27-36+3+1=76
x=0, y = 0+0+0+0+1=1
x= -1 , y = 1+1-4+1+1=0
x=1 , y= 1-1-4-1+1=-4
x=2, y=16-8-16-2+1=-9
Hence C is the polynomial of given points
