SOLUTION: show that the polynomial has a zero between -4 and -3 x to the 4th power minus 4x to the third power minus 20x squared plus 32x minus 12

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Question 1032931: show that the polynomial has a zero between -4 and -3
x to the 4th power minus 4x to the third power minus 20x squared plus 32x minus 12
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Bolzano's Theorem:

If is a continuous function in the closed interval with and of opposite sign, then

Polynomial functions are continuous over the entirety of the Real numbers, therefore the given polynomial must be continuous over :

So calculate and . If , then there is a value in the interval such that .

John

My calculator said it, I believe it, that settles it