Question

What polynomial has a graph that passes through the given points?
(–4, 89), (–3, 7), (–1, –1), (1, –1), (4, 329)



y = 2x^3 – 3x^2 – 2x + 1
y = 1x^4 – 2x^3 – 3x^2 + 2x + 1
y = x^4 – 2x^3 + 3x^2 + 2x – 1
y = x^4 + 2x^3 – 3x^2 – 2x + 1

Answer 1

guess you have to check

Answer 2

what do you mean . I think my teacher messed this problem up , because i have worked it out sooo many times and im getting the same answers

Answer 3

http://www.wolframalpha.com/input/?i=polynomial++%28 –4%2C+89%29%2C+%28–3%2C+7%29%2C+%28–1%2C+–1%29%2C+%281%2C+–1%2

Answer 4

i means check to see which numbers work
otherwise it is an amazing pain in the neck. although as i recall @amistre had a nice method

Answer 5

i just clicked your link , and nothing came up ?

Answer 6

copy and paste

Answer 7

it won't give the whole link
http://www.wolframalpha.com/input/?i=polynomial++%28%E2%80%934%2C+89%29%2C+%28%E2%80%933%2C+7%29%2C+%28%E2%80%931%2C+%E2%80%931%29%2C+%281%2C+%E2%80%931%29%2C+%284%2C+329%29

Answer 8

ok now it did

Answer 9

thanks , i tried that earlier . but it didnt work for me -____-

Answer 10

Without wolfram, the easiest way is to replace x with 1 and see which equation gives you y= -1

Answer 11

there really is a method for doing this. but it will come down to solving a system of linear equations

Answer 12

@phi i was assuming (perhaps incorrectly) that more than one did, otherwise yes, that certainly would be easiest

Answer 13

I assume that checking 1,-1 and -1,-1 would be sufficient.... fitting data to a polynomial seems above her grade level

Answer 14

I just took the test and x^4 + 2x^3 – 3x^2 – 2x + 1 is the answer.