Question

What polynomial has a graph that passes through the given points?
(-2, 2) (-1, -1) (1, 5) (3, 67)
A. y = -x^3 + 4x^2 + 2x - 2

B. y = x^3 + 4x^2 + 2x - 2

C. y = x^4 + 4x^3 + 2x^2 - 2x
D. IS NOT A CORRECT ANSWER

Answer 1

Would that be x^3 for the first one?

Answer 2

honestly idk what to do on this and im falling asleep on my keyboard i have keys on my face

Answer 3

i got \[y=x^3 +4x^2 +2x-2\]

Answer 4

i wow haha i was going to say b

Answer 5

here's my solution:
let \[y=a(x+2)(x+1)(x-1)+b(x+2)(x+1)+c(x+2)+d\]

Answer 6

B would be correct.

Answer 7

substitute each point (-2,2), (-1,-1), (1,5), and (3,67)
each substitution solves the coefficients d, c, b and a in that order. just expand after solving all coefficients