Question

PLEASE HELP

What polynomial has a graph that passes through the given points?
(–3, 76), (–1, 0), (0, 1), (1, –4), (2, –9)

A. y=-x^3-4x^2-x+1
B. y=-x^4+x^3+4x^2+x-1
C. y=x^4-x^3-4x^2-x+1

Answer 1

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