Use the Intermediate Value Theorem to show that the following function has a zero in the given interval. Approximate the zero correct to two decimal places.

$f(x)=8x^4-2x^2+5x-2$;$[0,1]$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.$ The polynomial has a real zero on the given inferval because $f(0)=,<mn\; id="EditorElement\_1522939">0</mn>$ and $f(1)=,$:$.$

$($Type integers or decimals$)$

B$.$ The polynomial has a real zero on the given interval because $f(0)$ and $f(1)$ are both negative

C$.$ The polynomial has a real zero on the given interval because $f(0)=,>0$ and

$($Type integers or decimals $)$

D$.$ The polynomial has a real zero on the given interval because $f(0)$ and $f(1)$ are both positive