What is the upper bound of the function?
f(x)= 2x^4 - 5x^2 - 45x - 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
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2 2 -3 stop
2 [ 2 0 -5 -45 -3 ]
2 4
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2 2 -1 stop
3 [ 2 0 -5 -45 -3 ]
6 18 39
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2 6 13 - 6 stop
4 [ 2 0 -5 -45 -3 ]
8 32 108 252
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2 8 27 63 249
So.....x = 4 is the upper bound