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]

Algebra ->  Functions -> 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]       Log On


   

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) About Me  (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