radh 3 years ago How do you find the upper and lower bounds of a polynomial?

For example, f(x) = 3x3 – 10x2 + 22x – 4.

2. hba

Least Upper Bound and Greatest Lower Bound ?

Yeah.

as much as that's true, the question says to : determine between which consecutive integers the real zeros of each function are located.

using the upper bound theorem, and f(x)/(x-c), but i don't know what c is.

6. hba

Are You Allowed To Use A Calculator ?

yeah.

8. Hero

You should have just mentioned what the original question was to begin with

9. hba

. Plug in consecutive integers for x. The answer will be the two integers in which one gives you a positive value and one gives you a negative value. Start by trying the integers -3,-2,-1,0,1,2,3 for x.

10. Hero

I can't understand why people think it is a good idea to ask half of the question rather then simply post the entire question. That's like giving partial info.

11. hba

LoL

sorry @hero. I found the terminology confusing and thought people would understand upper bound meant the theorem.

13. hba

If You Have A Calculator You Can Find The Zero :)

14. Hero

You mean you assumed that everyone else besides you were aware that such a theorem exists?

yep. oops. but thanks @hba. i think i got it.

16. hba