Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of the function \[ f(x)=5 x^{4}+4 x^{2}+4 x-8 \] The function $f(x)$ has 1 positive zero(s) (Type a whole number.) The function $f(x)$ has $\square$ negative zero(s) (Type a whole number.)

Step 1 ：The function $f(x)$ is a polynomial of degree 4, so it has 4 zeros in the complex plane.

Step 2 ：The zeros of a polynomial with real coefficients always come in conjugate pairs. Therefore, the number of nonreal complex zeros must be even.

Step 3 ：We know that there is 1 positive zero.

Step 4 ：There must be 1 negative zero to balance out the positive zero.

Step 5 ：The remaining 2 zeros must be nonreal complex zeros.

Step 6 ：Final Answer: The function $f(x)$ has \(\boxed{1}\) negative zero and \(\boxed{2}\) nonreal complex zeros.