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What is the upper bound of the function?

f(x)= 2x^4 - 5x^2 - 45x - 3

 Sep 18, 2019
 #1
avatar+104869 
+3

If we perform synthetic division with an integer and get all positives on the bottom line....then that integer is the upper bound

 

1  [  2   0    -5    -45    - 3]

            2     2

    __________________

      2    2     -3     stop

 

2 [ 2   0   -5     -45      -3 ]

          2     4

    __________________

     2    2     -1    stop                         

 

3 [ 2  0   -5    -45    -3  ]

         6  18     39

   __________________

    2   6  13  - 6   stop

 

4 [  2   0     -5    -45    -3  ]

           8    32   108   252

    _________________

     2    8    27    63   249

 

So.....x = 4  is the upper bound

 

 

cool cool cool

 Sep 19, 2019

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