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 :)
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