SOLUTION: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x) = 8x3 - 10x2 + 3x + 5; [-1, 0]

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Question 616616: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x3 - 10x2 + 3x + 5; [-1, 0]

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x^3 - 10x^2 + 3x + 5
f(-1) = -8 - 10 - 3 + 5 = -16
f(0) = 5
Note: the continuous function value changes from negative to positive in the given interval:
function will have a zero in that interval


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