## Hermeezey 3 years ago Saw this today and realized I didn't know how to solve it: A polynomial with nonnegative integer coefficients has P(0) = 3, P(1) = 8, P(2) = 39, and P(3) = 144. Find P(-2)

1. cathyangs

hm...does it tell you what type of polynomial it is?

2. cathyangs

*meaning what the greatest power is.

3. Hermeezey

nope, that was all that the problem had. I deduced it must be degree 4 or less, given p(1) = 8 and p(2) = 39 and all the coefficients have to be positive.

4. cathyangs

AHAH! :D I believe it's 8x^3-11x^2+8x+3 :)

5. cathyangs

...well was my math right? Or should I check?

6. cathyangs

...*dramatic pause* *decides to check math.*

7. Hermeezey

haha you wanna show me your work? i know its a lot to type though.

8. cathyangs

+_+ can I just explain it?

9. Hermeezey

oh wait its non-negative coeffecients -11x^2 is a negative coeffecient :(

10. cathyangs

X.X.

11. cathyangs

I don't see another way that works.

12. Hermeezey

haha its ok.

13. cathyangs

sorry T.T I'll give this to my teacher.