Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.

__X__ __F(X)__

-2 -105

-1 0

0 5

1 -2

2 3

3 -20

4 -175

- What is the degree of the polynomial function? How can you tell?

- How many positive real zeros does the functions have? How can you tell?

I appreciate you for reading this, would you please help me with this :)

thebestchesscat Aug 15, 2023

#1**+1 **

I haven't done this in a while, thebestchesscat, but I believe these are the answers

We have three positive roots (zeroes)....the sign on the y values changes three times

One between 0 and 1

One between 1 and 2

One between 2 and 3

The upper bound = 3 (I believe this means that we have no other zeros to the right of 3 )

We have one negative zero at - 1

So...the degree ofthe poynomial is 1 negative root + 3 positive roots = 4th degree

CPhill Aug 15, 2023