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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 :)

 Aug 15, 2023
 #1
avatar+128732 
+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

 

 

cool cool cool

 Aug 15, 2023
 #2
avatar+124 
0

Thank you so much CPhill :))

thebestchesscat  Aug 15, 2023

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