What is the lower bound of the polynomial function?
f(x)=x^4−x^3−2x^2+5x−6
ANSWER:
-11.2
-1 [ 1 -1 - 2 5 - 6 ]
-1 2 0 -5
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1 - 2 0 5 -11
-2 [ 1 - 1 -2 5 - 6 ]
-2 6 -8 6
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1 -3 4 -3 0
-3 [ 1 -1 -2 5 -6 ]
-3 12 -30 75
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1 -4 10 -25 69
We get alternating signs on the bottom row......thus -3 is the lower bound
See the graph, here : https://www.desmos.com/calculator/sxca8cg7bf