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

Answer 1

synthetic division might help :)

Answer 2

pick a point and start substituting

when you have equations try the next point

Answer 3

-x^3 + 4x^2 + 2x - 2
0 2 -12 12
-2 -1 6 -10 (10) ; looks like (-2,10) is that point

Answer 4

guess it doesnt work that way :/

Answer 5

So I cant use synthetic division?

Answer 6

i think you can .... but for some reason i get 18 for P(-2) might need to change the sign but that just seems odd to me

Answer 7

-x^3 + 4x^2 + 2x - 2
0 -2 4 12
2 -1 2 6 (10) ; looks like (-2,10) is that point

guess that doesnt pan out either

I spose im confusing the divide by (x+2) and get a remainder thrm ....

Answer 8

Thanks. I think I can take it from here.

Answer 9

good luck :)